264375696 has 160 divisors (see below), whose sum is σ = 769950720. Its totient is φ = 77640192.

The previous prime is 264375677. The next prime is 264375697. The reversal of 264375696 is 696573462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (264375697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583005 + ... + 1583171.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2^264375696 is an apocalyptic number.

264375696 is a gapful number since it is divisible by the number (26) 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 264375696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384975360).

264375696 is an abundant number, since it is smaller than the sum of its proper divisors (505575024).

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

264375696 is a wasteful number, since it uses less digits than its factorization.

264375696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 264375696 is about 16259.6339442190. The cubic root of 264375696 is about 641.8110292905.

The spelling of 264375696 in words is "two hundred sixty-four million, three hundred seventy-five thousand, six hundred ninety-six".