90109472 has 48 divisors (see below), whose sum is σ = 183240792. Its totient is φ = 43591680.

The previous prime is 90109463. The next prime is 90109483. The reversal of 90109472 is 27490109.

It can be written as a sum of positive squares in 4 ways, for example, as 79637776 + 10471696 = 8924^2 + 3236^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226778 + ... + 227174.

Almost surely, 2^90109472 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 90109472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91620396).

90109472 is an abundant number, since it is smaller than the sum of its proper divisors (93131320).

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

90109472 is a wasteful number, since it uses less digits than its factorization.

90109472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 90109472 is about 9492.6009080757. The cubic root of 90109472 is about 448.3221004204.

The spelling of 90109472 in words is "ninety million, one hundred nine thousand, four hundred seventy-two".