87571008 has 168 divisors, whose sum is σ = 295119552. Its totient is φ = 24302592.

The previous prime is 87570997. The next prime is 87571009. The reversal of 87571008 is 80017578.

87571008 is a `hidden beast` number, since 87 + 571 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (87571009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148891 + ... + 149477.

It is an arithmetic number, because the mean of its divisors is an integer number (1756664).

Almost surely, 2^87571008 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 87571008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147559776).

87571008 is an abundant number, since it is smaller than the sum of its proper divisors (207548544).

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

87571008 is a wasteful number, since it uses less digits than its factorization.

87571008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 87571008 is about 9357.9382344617. The cubic root of 87571008 is about 444.0720603762.

The spelling of 87571008 in words is "eighty-seven million, five hundred seventy-one thousand, eight".