90165456 has 60 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 29628480.

The previous prime is 90165421. The next prime is 90165457. The reversal of 90165456 is 65456109.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 90165456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90165457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5815 + ... + 14633.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^90165456 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 90165456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

90165456 is an abundant number, since it is smaller than the sum of its proper divisors (165755664).

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

90165456 is a wasteful number, since it uses less digits than its factorization.

90165456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90165456 is about 9495.5492732122. The cubic root of 90165456 is about 448.4149270228.

The spelling of 90165456 in words is "ninety million, one hundred sixty-five thousand, four hundred fifty-six".