87688320 has 128 divisors (see below), whose sum is σ = 282744000. Its totient is φ = 23113728.

The previous prime is 87688313. The next prime is 87688333. The reversal of 87688320 is 2388678.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209071 + ... + 209489.

Almost surely, 2^87688320 is an apocalyptic number.

87688320 is a gapful number since it is divisible by the number (80) 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 87688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141372000).

87688320 is an abundant number, since it is smaller than the sum of its proper divisors (195055680).

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

87688320 is a wasteful number, since it uses less digits than its factorization.

87688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87688320 is about 9364.2041840191. The cubic root of 87688320 is about 444.2702680460.

The spelling of 87688320 in words is "eighty-seven million, six hundred eighty-eight thousand, three hundred twenty".