87332900 has 36 divisors (see below), whose sum is σ = 190456560. Its totient is φ = 34759200.

The previous prime is 87332897. The next prime is 87332929. The reversal of 87332900 is 923378.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19031 + ... + 23169.

It is an arithmetic number, because the mean of its divisors is an integer number (5290460).

Almost surely, 2^87332900 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 87332900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95228280).

87332900 is an abundant number, since it is smaller than the sum of its proper divisors (103123660).

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

87332900 is a wasteful number, since it uses less digits than its factorization.

87332900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 87332900 is about 9345.2073278232. The cubic root of 87332900 is about 443.6692136211.

The spelling of 87332900 in words is "eighty-seven million, three hundred thirty-two thousand, nine hundred".