90222768 has 60 divisors (see below), whose sum is σ = 259540680. Its totient is φ = 30008448.

The previous prime is 90222749. The next prime is 90222809. The reversal of 90222768 is 86722209.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 11 ways as a sum of consecutive naturals, for example, 197196 + ... + 197652.

It is an arithmetic number, because the mean of its divisors is an integer number (4325678).

Almost surely, 2^90222768 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 90222768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129770340).

90222768 is an abundant number, since it is smaller than the sum of its proper divisors (169317912).

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

90222768 is an equidigital number, since it uses as much as digits as its factorization.

90222768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 90222768 is about 9498.5666287077. The cubic root of 90222768 is about 448.5099157772.

The spelling of 90222768 in words is "ninety million, two hundred twenty-two thousand, seven hundred sixty-eight".