687064032 has 144 divisors (see below), whose sum is σ = 2043241200. Its totient is φ = 227100672.

The previous prime is 687064009. The next prime is 687064051. The reversal of 687064032 is 230460786.

687064032 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 640 + 3 + 2 = 666.

687064032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1158328 + ... + 1158920.

It is an arithmetic number, because the mean of its divisors is an integer number (14189175).

Almost surely, 2^687064032 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 687064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021620600).

687064032 is an abundant number, since it is smaller than the sum of its proper divisors (1356177168).

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

687064032 is a wasteful number, since it uses less digits than its factorization.

687064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 687064032 is about 26211.9063022894. The cubic root of 687064032 is about 882.4004845158.

The spelling of 687064032 in words is "six hundred eighty-seven million, sixty-four thousand, thirty-two".