90896960 has 336 divisors, whose sum is σ = 300215808. Its totient is φ = 25804800.

The previous prime is 90896951. The next prime is 90896999. The reversal of 90896960 is 6969809.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2932145 + ... + 2932175.

Almost surely, 2^90896960 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 90896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150107904).

90896960 is an abundant number, since it is smaller than the sum of its proper divisors (209318848).

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

90896960 is a wasteful number, since it uses less digits than its factorization.

90896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The square root of 90896960 is about 9533.9897209930. The cubic root of 90896960 is about 449.6243119539.

The spelling of 90896960 in words is "ninety million, eight hundred ninety-six thousand, nine hundred sixty".