90263376 has 160 divisors (see below), whose sum is σ = 311884800. Its totient is φ = 24416640.

The previous prime is 90263363. The next prime is 90263401. The reversal of 90263376 is 67336209.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90263376.

It is a congruent number.

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, 56671 + ... + 58241.

It is an arithmetic number, because the mean of its divisors is an integer number (1949280).

Almost surely, 2^90263376 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 90263376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155942400).

90263376 is an abundant number, since it is smaller than the sum of its proper divisors (221621424).

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

90263376 is a wasteful number, since it uses less digits than its factorization.

90263376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 90263376 is about 9500.7039739169. The cubic root of 90263376 is about 448.5771950212.

The spelling of 90263376 in words is "ninety million, two hundred sixty-three thousand, three hundred seventy-six".