87176320 has 256 divisors, whose sum is σ = 273196800. Its totient is φ = 25804800.

The previous prime is 87176317. The next prime is 87176333. The reversal of 87176320 is 2367178.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429090 + ... + 1429150.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 2^87176320 is an apocalyptic number.

87176320 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 87176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

87176320 is an abundant number, since it is smaller than the sum of its proper divisors (186020480).

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

87176320 is a wasteful number, since it uses less digits than its factorization.

87176320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 87176320 is about 9336.8260131589. The cubic root of 87176320 is about 443.4039020584.

The spelling of 87176320 in words is "eighty-seven million, one hundred seventy-six thousand, three hundred twenty".