90372816 has 240 divisors, whose sum is σ = 295963200. Its totient is φ = 25546752.

The previous prime is 90372739. The next prime is 90372851. The reversal of 90372816 is 61827309.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348815 + ... + 1348881.

It is an arithmetic number, because the mean of its divisors is an integer number (1233180).

Almost surely, 2^90372816 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 90372816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

90372816 is an abundant number, since it is smaller than the sum of its proper divisors (205590384).

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

90372816 is a wasteful number, since it uses less digits than its factorization.

90372816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90372816 is about 9506.4618023742. The cubic root of 90372816 is about 448.7584145555.

The spelling of 90372816 in words is "ninety million, three hundred seventy-two thousand, eight hundred sixteen".