90616900 has 54 divisors (see below), whose sum is σ = 216168890. Its totient is φ = 32947200.

The previous prime is 90616891. The next prime is 90616901. The reversal of 90616900 is 961609.

It can be written as a sum of positive squares in 3 ways, for example, as 5645376 + 84971524 = 2376^2 + 9218^2 .

It is a super-2 number, since 2×90616900² = 16422845131220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90616901) 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, 8356 + ... + 15844.

Almost surely, 2^90616900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90616900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108084445).

90616900 is an abundant number, since it is smaller than the sum of its proper divisors (125551990).

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

90616900 is a wasteful number, since it uses less digits than its factorization.

90616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7525 (or 7507 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 90616900 is about 9519.2909399808. The cubic root of 90616900 is about 449.1620620565.

The spelling of 90616900 in words is "ninety million, six hundred sixteen thousand, nine hundred".