987955200 has 306 divisors, whose sum is σ = 3591869684. Its totient is φ = 259522560.

The previous prime is 987955193. The next prime is 987955231. The reversal of 987955200 is 2559789.

It is a happy number.

987955200 is a `hidden beast` number, since 98 + 7 + 9 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14745567 + ... + 14745633.

Almost surely, 2^987955200 is an apocalyptic number.

987955200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795934842).

987955200 is an abundant number, since it is smaller than the sum of its proper divisors (2603914484).

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

987955200 is an equidigital number, since it uses as much as digits as its factorization.

987955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 987955200 is about 31431.7546439902. The cubic root of 987955200 is about 995.9688382373.

The spelling of 987955200 in words is "nine hundred eighty-seven million, nine hundred fifty-five thousand, two hundred".