90897600 has 168 divisors, whose sum is σ = 308975760. Its totient is φ = 23367680.

The previous prime is 90897593. The next prime is 90897601. The reversal of 90897600 is 679809.

It is not an unprimeable number, because it can be changed into a prime (90897601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138874 + ... + 139526.

Almost surely, 2^90897600 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 90897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154487880).

90897600 is an abundant number, since it is smaller than the sum of its proper divisors (218078160).

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

90897600 is a wasteful number, since it uses less digits than its factorization.

90897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 90897600 is about 9534.0232850565. The cubic root of 90897600 is about 449.6253672106.

The spelling of 90897600 in words is "ninety million, eight hundred ninety-seven thousand, six hundred".