264872610 has 48 divisors (see below), whose sum is σ = 689849784. Its totient is φ = 70511616.

The previous prime is 264872599. The next prime is 264872611. The reversal of 264872610 is 16278462.

264872610 is a `hidden beast` number, since 2 + 648 + 7 + 2 + 6 + 1 + 0 = 666.

264872610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 200760561 + 64112049 = 14169^2 + 8007^2 .

It is a super-3 number, since 3×264872610³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (264872611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58384 + ... + 62756.

Almost surely, 2^264872610 is an apocalyptic number.

264872610 is an abundant number, since it is smaller than the sum of its proper divisors (424977174).

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

264872610 is a wasteful number, since it uses less digits than its factorization.

264872610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 264872610 is about 16274.9073730083. The cubic root of 264872610 is about 642.2128883173.

The spelling of 264872610 in words is "two hundred sixty-four million, eight hundred seventy-two thousand, six hundred ten".