87090360 has 128 divisors (see below), whose sum is σ = 300672000. Its totient is φ = 19768320.

The previous prime is 87090359. The next prime is 87090373. The reversal of 87090360 is 6309078.

It is a happy number.

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, 166900 + ... + 167420.

It is an arithmetic number, because the mean of its divisors is an integer number (2349000).

Almost surely, 2^87090360 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 87090360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150336000).

87090360 is an abundant number, since it is smaller than the sum of its proper divisors (213581640).

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

87090360 is a wasteful number, since it uses less digits than its factorization.

87090360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 87090360 is about 9332.2216004551. The cubic root of 87090360 is about 443.2581150144.

The spelling of 87090360 in words is "eighty-seven million, ninety thousand, three hundred sixty".