264517696 has 63 divisors (see below), whose sum is σ = 559208559. Its totient is φ = 124126848.

The previous prime is 264517681. The next prime is 264517741. The reversal of 264517696 is 696715462.

The square root of 264517696 is 16264.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×264517696² = 139939222994296832, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2472075 + ... + 2472181.

Almost surely, 2^264517696 is an apocalyptic number.

264517696 is the 16264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264517696

264517696 is an abundant number, since it is smaller than the sum of its proper divisors (294690863).

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

264517696 is an equidigital number, since it uses as much as digits as its factorization.

264517696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 128 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The cubic root of 264517696 is about 641.9259173776.

The spelling of 264517696 in words is "two hundred sixty-four million, five hundred seventeen thousand, six hundred ninety-six".