687645264 has 80 divisors (see below), whose sum is σ = 1874880000. Its totient is φ = 216574848.

The previous prime is 687645263. The next prime is 687645271. The reversal of 687645264 is 462546786.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687645263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 457987 + ... + 459485.

It is an arithmetic number, because the mean of its divisors is an integer number (23436000).

Almost surely, 2^687645264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687645264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440000).

687645264 is an abundant number, since it is smaller than the sum of its proper divisors (1187234736).

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

687645264 is a wasteful number, since it uses less digits than its factorization.

687645264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2026 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 687645264 is about 26222.9911337361. The cubic root of 687645264 is about 882.6492409716.

The spelling of 687645264 in words is "six hundred eighty-seven million, six hundred forty-five thousand, two hundred sixty-four".