87571580 has 48 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 33219648.

The previous prime is 87571571. The next prime is 87571591. The reversal of 87571580 is 8517578.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57671 + ... + 59169.

It is an arithmetic number, because the mean of its divisors is an integer number (4032000).

Almost surely, 2^87571580 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 87571580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

87571580 is an abundant number, since it is smaller than the sum of its proper divisors (105964420).

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

87571580 is a wasteful number, since it uses less digits than its factorization.

87571580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 41.

The square root of 87571580 is about 9357.9687966994. The cubic root of 87571580 is about 444.0730272436.

The spelling of 87571580 in words is "eighty-seven million, five hundred seventy-one thousand, five hundred eighty".