864120 has 64 divisors (see below), whose sum is σ = 2736000. Its totient is φ = 217728.

The previous prime is 864119. The next prime is 864121. The reversal of 864120 is 21468.

It is an interprime number because it is at equal distance from previous prime (864119) and next prime (864121).

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 864120.

It is not an unprimeable number, because it can be changed into a prime (864121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (42750).

2⁸⁶⁴¹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368000).

864120 is an abundant number, since it is smaller than the sum of its proper divisors (1871880).

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

864120 is a wasteful number, since it uses less digits than its factorization.

864120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 864120 is about 929.5805505711. The cubic root of 864120 is about 95.2484723613.

Adding to 864120 its reverse (21468), we get a palindrome (885588).

The spelling of 864120 in words is "eight hundred sixty-four thousand, one hundred twenty".