90624768 has 144 divisors (see below), whose sum is σ = 269562720. Its totient is φ = 26836992.

The previous prime is 90624733. The next prime is 90624769. The reversal of 90624768 is 86742609.

It is not an unprimeable number, because it can be changed into a prime (90624769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289380 + ... + 289692.

Almost surely, 2^90624768 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 90624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134781360).

90624768 is an abundant number, since it is smaller than the sum of its proper divisors (178937952).

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

90624768 is a wasteful number, since it uses less digits than its factorization.

90624768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 90624768 is about 9519.7041970851. The cubic root of 90624768 is about 449.1750614891.

The spelling of 90624768 in words is "ninety million, six hundred twenty-four thousand, seven hundred sixty-eight".