87688500 has 96 divisors (see below), whose sum is σ = 260402688. Its totient is φ = 22921600.

The previous prime is 87688487. The next prime is 87688541. The reversal of 87688500 is 588678.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78949 + ... + 80051.

It is an arithmetic number, because the mean of its divisors is an integer number (2712528).

Almost surely, 2^87688500 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 87688500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130201344).

87688500 is an abundant number, since it is smaller than the sum of its proper divisors (172714188).

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

87688500 is a wasteful number, since it uses less digits than its factorization.

87688500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 87688500 is about 9364.2137950818. The cubic root of 87688500 is about 444.2705720340.

It can be divided in two parts, 87688 and 500, that added together give a palindrome (88188).

The spelling of 87688500 in words is "eighty-seven million, six hundred eighty-eight thousand, five hundred".