90892944 has 60 divisors (see below), whose sum is σ = 255265036. Its totient is φ = 30191616.

The previous prime is 90892913. The next prime is 90892973. The reversal of 90892944 is 44929809.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 79923600 = 3312^2 + 8940^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90892944.

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 11 ways as a sum of consecutive naturals, for example, 47592 + ... + 49464.

Almost surely, 2^90892944 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 90892944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127632518).

90892944 is an abundant number, since it is smaller than the sum of its proper divisors (164372092).

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

90892944 is a wasteful number, since it uses less digits than its factorization.

90892944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 90892944 is about 9533.7791037972. The cubic root of 90892944 is about 449.6176901049.

The spelling of 90892944 in words is "ninety million, eight hundred ninety-two thousand, nine hundred forty-four".