987590400 has 108 divisors (see below), whose sum is σ = 3259317432. Its totient is φ = 263352320.

The previous prime is 987590377. The next prime is 987590437. The reversal of 987590400 is 4095789.

It is a congruent number.

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, 6519 + ... + 44918.

Almost surely, 2^987590400 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 987590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629658716).

987590400 is an abundant number, since it is smaller than the sum of its proper divisors (2271727032).

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

987590400 is a wasteful number, since it uses less digits than its factorization.

987590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51466 (or 51447 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 987590400 is about 31425.9510595940. The cubic root of 987590400 is about 995.8462368073.

The spelling of 987590400 in words is "nine hundred eighty-seven million, five hundred ninety thousand, four hundred".