90456912 has 300 divisors, whose sum is σ = 329487840. Its totient is φ = 23452416.

The previous prime is 90456889. The next prime is 90456917. The reversal of 90456912 is 21965409.

90456912 is a `hidden beast` number, since 90 + 4 + 569 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90456917) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1533139 + ... + 1533197.

Almost surely, 2^90456912 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 90456912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164743920).

90456912 is an abundant number, since it is smaller than the sum of its proper divisors (239030928).

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

90456912 is a wasteful number, since it uses less digits than its factorization.

90456912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90456912 is about 9510.8838705979. The cubic root of 90456912 is about 448.8975680808.

The spelling of 90456912 in words is "ninety million, four hundred fifty-six thousand, nine hundred twelve".