87166080 has 192 divisors, whose sum is σ = 309886200. Its totient is φ = 22560768.

The previous prime is 87166073. The next prime is 87166099. The reversal of 87166080 is 8066178.

It can be written as a sum of positive squares in 4 ways, for example, as 87160896 + 5184 = 9336^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212916 + ... + 213324.

Almost surely, 2^87166080 is an apocalyptic number.

87166080 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 87166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154943100).

87166080 is an abundant number, since it is smaller than the sum of its proper divisors (222720120).

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

87166080 is a wasteful number, since it uses less digits than its factorization.

87166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87166080 is about 9336.2776308334. The cubic root of 87166080 is about 443.3865401810.

The spelling of 87166080 in words is "eighty-seven million, one hundred sixty-six thousand, eighty".