90666576 has 480 divisors, whose sum is σ = 370476288. Its totient is φ = 19906560.

The previous prime is 90666571. The next prime is 90666581. The reversal of 90666576 is 67566609.

It is an interprime number because it is at equal distance from previous prime (90666571) and next prime (90666581).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90666571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2450430 + ... + 2450466.

Almost surely, 2^90666576 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 90666576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

90666576 is an abundant number, since it is smaller than the sum of its proper divisors (279809712).

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

90666576 is a wasteful number, since it uses less digits than its factorization.

90666576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 90666576 is about 9521.8998104370. The cubic root of 90666576 is about 449.2441236389.

It can be divided in two parts, 90 and 666576, that added together give a palindrome (666666).

The spelling of 90666576 in words is "ninety million, six hundred sixty-six thousand, five hundred seventy-six".