264042680 has 64 divisors (see below), whose sum is σ = 670485600. Its totient is φ = 92700160.

The previous prime is 264042577. The next prime is 264042719. The reversal of 264042680 is 86240462.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2414 + ... + 23106.

Almost surely, 2^264042680 is an apocalyptic number.

264042680 is a gapful number since it is divisible by the number (20) 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 264042680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335242800).

264042680 is an abundant number, since it is smaller than the sum of its proper divisors (406442920).

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

264042680 is a wasteful number, since it uses less digits than its factorization.

264042680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20744 (or 20740 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 264042680 is about 16249.3901424023. The cubic root of 264042680 is about 641.5414342286.

The spelling of 264042680 in words is "two hundred sixty-four million, forty-two thousand, six hundred eighty".