90444816 has 160 divisors (see below), whose sum is σ = 323788800. Its totient is φ = 23483520.

The previous prime is 90444791. The next prime is 90444829. The reversal of 90444816 is 61844409.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31905 + ... + 34623.

It is an arithmetic number, because the mean of its divisors is an integer number (2023680).

Almost surely, 2^90444816 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 90444816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161894400).

90444816 is an abundant number, since it is smaller than the sum of its proper divisors (233343984).

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

90444816 is a wasteful number, since it uses less digits than its factorization.

90444816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 90444816 is about 9510.2479462946. The cubic root of 90444816 is about 448.8775581596.

The spelling of 90444816 in words is "ninety million, four hundred forty-four thousand, eight hundred sixteen".