90820900 has 27 divisors (see below), whose sum is σ = 197288371. Its totient is φ = 36290240.

The previous prime is 90820879. The next prime is 90820901. The reversal of 90820900 is 902809.

It is a happy number.

The square root of 90820900 is 9530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4553956 + 86266944 = 2134^2 + 9288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90820901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94824 + ... + 95776.

Almost surely, 2^90820900 is an apocalyptic number.

90820900 is the 9530-th square number.

It is an amenable number.

90820900 is an abundant number, since it is smaller than the sum of its proper divisors (106467471).

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

90820900 is an equidigital number, since it uses as much as digits as its factorization.

90820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The cubic root of 90820900 is about 449.4988659971.

Multiplying 90820900 by its product of nonzero digits (1296), we get a square (117703886400 = 343080²).

The spelling of 90820900 in words is "ninety million, eight hundred twenty thousand, nine hundred".