87558360 has 128 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 22524416.

The previous prime is 87558349. The next prime is 87558409. The reversal of 87558360 is 6385578.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587566 + ... + 587714.

It is an arithmetic number, because the mean of its divisors is an integer number (2126250).

Almost surely, 2^87558360 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 87558360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

87558360 is an abundant number, since it is smaller than the sum of its proper divisors (184601640).

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

87558360 is a wasteful number, since it uses less digits than its factorization.

87558360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 87558360 is about 9357.2624201740. The cubic root of 87558360 is about 444.0506800359.

The spelling of 87558360 in words is "eighty-seven million, five hundred fifty-eight thousand, three hundred sixty".