87165000 has 240 divisors, whose sum is σ = 319819500. Its totient is φ = 21312000.

The previous prime is 87164953. The next prime is 87165031. The reversal of 87165000 is 56178.

87165000 is a `hidden beast` number, since 8 + 7 + 1 + 650 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 35928036 + 51236964 = 5994^2 + 7158^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 584926 + ... + 585074.

Almost surely, 2^87165000 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 87165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159909750).

87165000 is an abundant number, since it is smaller than the sum of its proper divisors (232654500).

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

87165000 is a wasteful number, since it uses less digits than its factorization.

87165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 87165000 is about 9336.2197917573. The cubic root of 87165000 is about 443.3847089662.

The spelling of 87165000 in words is "eighty-seven million, one hundred sixty-five thousand".