687590966100 has 72 divisors (see below), whose sum is σ = 1989518600160. Its totient is φ = 183349412480.

The previous prime is 687590966087. The next prime is 687590966113. The reversal of 687590966100 is 1669095786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (687590966087) and next prime (687590966113).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9926386 + ... + 9995414.

It is an arithmetic number, because the mean of its divisors is an integer number (27632202780).

Almost surely, 2^687590966100 is an apocalyptic number.

687590966100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

687590966100 is an abundant number, since it is smaller than the sum of its proper divisors (1301927634060).

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

687590966100 is a wasteful number, since it uses less digits than its factorization.

687590966100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102249 (or 102242 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 687590966100 in words is "six hundred eighty-seven billion, five hundred ninety million, nine hundred sixty-six thousand, one hundred".