87583900 has 36 divisors (see below), whose sum is σ = 191454760. Its totient is φ = 34776000.

The previous prime is 87583891. The next prime is 87583933. The reversal of 87583900 is 938578.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10750 + ... + 17050.

Almost surely, 2^87583900 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 87583900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95727380).

87583900 is an abundant number, since it is smaller than the sum of its proper divisors (103870860).

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

87583900 is a wasteful number, since it uses less digits than its factorization.

87583900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 87583900 is about 9358.6270360561. The cubic root of 87583900 is about 444.0938510586.

The spelling of 87583900 in words is "eighty-seven million, five hundred eighty-three thousand, nine hundred".