987598800 has 90 divisors (see below), whose sum is σ = 3427254662. Its totient is φ = 263358720.

The previous prime is 987598769. The next prime is 987598813. The reversal of 987598800 is 8895789.

It can be written as a sum of positive squares in 3 ways, for example, as 279825984 + 707772816 = 16728^2 + 26604^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×987598800² = 1950702779522880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 133567 + ... + 140766.

Almost surely, 2^987598800 is an apocalyptic number.

987598800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

987598800 is an abundant number, since it is smaller than the sum of its proper divisors (2439655862).

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

987598800 is a wasteful number, since it uses less digits than its factorization.

987598800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274357 (or 274343 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 987598800 is about 31426.0847068164. The cubic root of 987598800 is about 995.8490602061.

The spelling of 987598800 in words is "nine hundred eighty-seven million, five hundred ninety-eight thousand, eight hundred".