264287680 has 56 divisors (see below), whose sum is σ = 641250432. Its totient is φ = 103713792.

The previous prime is 264287669. The next prime is 264287717. The reversal of 264287680 is 86782462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9169 + ... + 24751.

Almost surely, 2^264287680 is an apocalyptic number.

264287680 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 264287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320625216).

264287680 is an abundant number, since it is smaller than the sum of its proper divisors (376962752).

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

264287680 is a wasteful number, since it uses less digits than its factorization.

264287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15653 (or 15643 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 264287680 is about 16256.9271389153. The cubic root of 264287680 is about 641.7397974407.

The spelling of 264287680 in words is "two hundred sixty-four million, two hundred eighty-seven thousand, six hundred eighty".