990086400 has 162 divisors, whose sum is σ = 3539988270. Its totient is φ = 264007680.

The previous prime is 990086389. The next prime is 990086407. The reversal of 990086400 is 4680099.

990086400 is a `hidden beast` number, since 9 + 9 + 0 + 0 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 238887936 + 751198464 = 15456^2 + 27408^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990086407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49006 + ... + 66194.

Almost surely, 2^990086400 is an apocalyptic number.

990086400 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 990086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769994135).

990086400 is an abundant number, since it is smaller than the sum of its proper divisors (2549901870).

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

990086400 is a wasteful number, since it uses less digits than its factorization.

990086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17221 (or 17199 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 990086400 is about 31465.6384012783. The cubic root of 990086400 is about 996.6844861835.

The spelling of 990086400 in words is "nine hundred ninety million, eighty-six thousand, four hundred".