90496672 has 96 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 36910080.

The previous prime is 90496669. The next prime is 90496673. The reversal of 90496672 is 27669409.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90496673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 505479 + ... + 505657.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^90496672 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 90496672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

90496672 is an abundant number, since it is smaller than the sum of its proper divisors (123239648).

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

90496672 is a wasteful number, since it uses less digits than its factorization.

90496672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 90496672 is about 9512.9738778155. The cubic root of 90496672 is about 448.9633288668.

The spelling of 90496672 in words is "ninety million, four hundred ninety-six thousand, six hundred seventy-two".