8990832400 has 135 divisors (see below), whose sum is σ = 23797885909. Its totient is φ = 3261808000.

The previous prime is 8990832379. The next prime is 8990832437. The reversal of 8990832400 is 42380998.

It is a happy number.

The square root of 8990832400 is 94820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3236699664 + 5754132736 = 56892^2 + 75856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20860185 + ... + 20860615.

Almost surely, 2^8990832400 is an apocalyptic number.

8990832400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8990832400 is the 94820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8990832400

8990832400 is an abundant number, since it is smaller than the sum of its proper divisors (14807053509).

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

8990832400 is a wasteful number, since it uses less digits than its factorization.

8990832400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The cubic root of 8990832400 is about 2079.3773099055.

The spelling of 8990832400 in words is "eight billion, nine hundred ninety million, eight hundred thirty-two thousand, four hundred".