264096 has 72 divisors (see below), whose sum is σ = 864864. Its totient is φ = 74880.

The previous prime is 264091. The next prime is 264101. The reversal of 264096 is 690462.

It is an interprime number because it is at equal distance from previous prime (264091) and next prime (264101).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (264091) by changing a digit.

264096 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 11 ways as a sum of consecutive naturals, for example, 1951 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (12012).

2²⁶⁴⁰⁹⁶ 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 264096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432).

264096 is an abundant number, since it is smaller than the sum of its proper divisors (600768).

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

264096 is a wasteful number, since it uses less digits than its factorization.

264096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 264096 is about 513.9027145287. The cubic root of 264096 is about 64.1584614984.

The spelling of 264096 in words is "two hundred sixty-four thousand, ninety-six".