90612672 has 112 divisors (see below), whose sum is σ = 257251200. Its totient is φ = 28062720.

The previous prime is 90612661. The next prime is 90612713. The reversal of 90612672 is 27621609.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215022 + ... + 215442.

Almost surely, 2^90612672 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 90612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128625600).

90612672 is an abundant number, since it is smaller than the sum of its proper divisors (166638528).

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

90612672 is a wasteful number, since it uses less digits than its factorization.

90612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 90612672 is about 9519.0688620264. The cubic root of 90612672 is about 449.1550762856.

The spelling of 90612672 in words is "ninety million, six hundred twelve thousand, six hundred seventy-two".