264120 has 64 divisors (see below), whose sum is σ = 829440. Its totient is φ = 67200.

The previous prime is 264113. The next prime is 264127. The reversal of 264120 is 21462.

264120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264113) and next prime (264127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 264120.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264120.

It is not an unprimeable number, because it can be changed into a prime (264127) by changing a digit.

264120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3685 + ... + 3755.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2²⁶⁴¹²⁰ is an apocalyptic number.

264120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720).

264120 is an abundant number, since it is smaller than the sum of its proper divisors (565320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264120 is a wasteful number, since it uses less digits than its factorization.

264120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 264120 is about 513.9260647214. The cubic root of 264120 is about 64.1604049286.

Adding to 264120 its reverse (21462), we get a palindrome (285582).

The spelling of 264120 in words is "two hundred sixty-four thousand, one hundred twenty".