987853200 has 120 divisors (see below), whose sum is σ = 3174344448. Its totient is φ = 262602240.

The previous prime is 987853183. The next prime is 987853249. The reversal of 987853200 is 2358789.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446497 + ... + 448703.

Almost surely, 2^987853200 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 987853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587172224).

987853200 is an abundant number, since it is smaller than the sum of its proper divisors (2186491248).

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

987853200 is a wasteful number, since it uses less digits than its factorization.

987853200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 987853200 is about 31430.1320391754. The cubic root of 987853200 is about 995.9345612722.

The spelling of 987853200 in words is "nine hundred eighty-seven million, eight hundred fifty-three thousand, two hundred".