87016176 has 240 divisors, whose sum is σ = 285981696. Its totient is φ = 24482304.

The previous prime is 87016169. The next prime is 87016187. The reversal of 87016176 is 67161078.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87016176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1851385 + ... + 1851431.

Almost surely, 2^87016176 is an apocalyptic number.

87016176 is a gapful number since it is divisible by the number (86) 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 87016176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

87016176 is an abundant number, since it is smaller than the sum of its proper divisors (198965520).

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

87016176 is a wasteful number, since it uses less digits than its factorization.

87016176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 87016176 is about 9328.2461374044. The cubic root of 87016176 is about 443.1322227764.

The spelling of 87016176 in words is "eighty-seven million, sixteen thousand, one hundred seventy-six".