90915456 has 128 divisors (see below), whose sum is σ = 269524800. Its totient is φ = 26984448.

The previous prime is 90915443. The next prime is 90915497. The reversal of 90915456 is 65451909.

It is a tau number, because it is divible by the number of its divisors (128).

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, 123666 + ... + 124398.

Almost surely, 2^90915456 is an apocalyptic number.

90915456 is a gapful number since it is divisible by the number (96) 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 90915456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134762400).

90915456 is an abundant number, since it is smaller than the sum of its proper divisors (178609344).

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

90915456 is a wasteful number, since it uses less digits than its factorization.

90915456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 90915456 is about 9534.9596747967. The cubic root of 90915456 is about 449.6548068764.

The spelling of 90915456 in words is "ninety million, nine hundred fifteen thousand, four hundred fifty-six".