90900576 has 96 divisors (see below), whose sum is σ = 285556320. Its totient is φ = 27965952.

The previous prime is 90900571. The next prime is 90900583. The reversal of 90900576 is 67500909.

It is a tau number, because it is divible by the number of its divisors (96).

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 90900576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90900571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7186 + ... + 15278.

It is an arithmetic number, because the mean of its divisors is an integer number (2974545).

Almost surely, 2^90900576 is an apocalyptic number.

90900576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90900576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142778160).

90900576 is an abundant number, since it is smaller than the sum of its proper divisors (194655744).

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

90900576 is a wasteful number, since it uses less digits than its factorization.

90900576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 90900576 is about 9534.1793563998. The cubic root of 90900576 is about 449.6302740893.

The spelling of 90900576 in words is "ninety million, nine hundred thousand, five hundred seventy-six".