990772200 has 216 divisors, whose sum is σ = 3658131750. Its totient is φ = 240134400.

The previous prime is 990772193. The next prime is 990772213. The reversal of 990772200 is 2277099.

It can be written as a sum of positive squares in 3 ways, for example, as 831860964 + 158911236 = 28842^2 + 12606^2 .

It is a super-3 number, since 3×990772200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 215526 + ... + 220074.

Almost surely, 2^990772200 is an apocalyptic number.

990772200 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 990772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829065875).

990772200 is an abundant number, since it is smaller than the sum of its proper divisors (2667359550).

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

990772200 is a wasteful number, since it uses less digits than its factorization.

990772200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 990772200 is about 31476.5341167035. The cubic root of 990772200 is about 996.9145564962.

The spelling of 990772200 in words is "nine hundred ninety million, seven hundred seventy-two thousand, two hundred".