90924160 has 128 divisors (see below), whose sum is σ = 235632240. Its totient is φ = 33423360.

The previous prime is 90924157. The next prime is 90924161. The reversal of 90924160 is 6142909.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29333056 + 61591104 = 5416^2 + 7848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (90924161) 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, 663612 + ... + 663748.

Almost surely, 2^90924160 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 90924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117816120).

90924160 is an abundant number, since it is smaller than the sum of its proper divisors (144708080).

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

90924160 is a wasteful number, since it uses less digits than its factorization.

90924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 90924160 is about 9535.4160895055. The cubic root of 90924160 is about 449.6691559971.

It can be divided in two parts, 90 and 924160, that multiplied together give a square (83174400 = 9120²).

The spelling of 90924160 in words is "ninety million, nine hundred twenty-four thousand, one hundred sixty".