90479168 has 56 divisors (see below), whose sum is σ = 204761592. Its totient is φ = 39297024.

The previous prime is 90479149. The next prime is 90479201. The reversal of 90479168 is 86197409.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 90478144 = 32^2 + 9512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10946 + ... + 17342.

It is an arithmetic number, because the mean of its divisors is an integer number (3656457).

Almost surely, 2^90479168 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 90479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102380796).

90479168 is an abundant number, since it is smaller than the sum of its proper divisors (114282424).

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

90479168 is a wasteful number, since it uses less digits than its factorization.

90479168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 90479168 is about 9512.0538265929. The cubic root of 90479168 is about 448.9343806169.

The spelling of 90479168 in words is "ninety million, four hundred seventy-nine thousand, one hundred sixty-eight".