8900562400 has 72 divisors (see below), whose sum is σ = 21765481920. Its totient is φ = 3554165760.

The previous prime is 8900562371. The next prime is 8900562401. The reversal of 8900562400 is 42650098.

It is a happy number.

It is a super-2 number, since 2×8900562400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8900562401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476436 + ... + 494764.

It is an arithmetic number, because the mean of its divisors is an integer number (302298360).

Almost surely, 2^8900562400 is an apocalyptic number.

8900562400 is a gapful number since it is divisible by the number (80) 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 8900562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10882740960).

8900562400 is an abundant number, since it is smaller than the sum of its proper divisors (12864919520).

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

8900562400 is a wasteful number, since it uses less digits than its factorization.

8900562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18956 (or 18943 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 8900562400 is about 94342.7919875175. The cubic root of 8900562400 is about 2072.3947484603.

The spelling of 8900562400 in words is "eight billion, nine hundred million, five hundred sixty-two thousand, four hundred".