90226368 has 126 divisors (see below), whose sum is σ = 268868652. Its totient is φ = 28926720.

The previous prime is 90226333. The next prime is 90226369. The reversal of 90226368 is 86362209.

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

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

It is not an unprimeable number, because it can be changed into a prime (90226369) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 553455 + ... + 553617.

Almost surely, 2^90226368 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 90226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134434326).

90226368 is an abundant number, since it is smaller than the sum of its proper divisors (178642284).

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

90226368 is a wasteful number, since it uses less digits than its factorization.

90226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 90226368 is about 9498.7561290940. The cubic root of 90226368 is about 448.5158810646.

The spelling of 90226368 in words is "ninety million, two hundred twenty-six thousand, three hundred sixty-eight".