90660900 has 144 divisors (see below), whose sum is σ = 290481408. Its totient is φ = 21648000.

The previous prime is 90660893. The next prime is 90660901. The reversal of 90660900 is 906609.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90660901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273735 + ... + 274065.

It is an arithmetic number, because the mean of its divisors is an integer number (2017232).

Almost surely, 2^90660900 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 90660900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145240704).

90660900 is an abundant number, since it is smaller than the sum of its proper divisors (199820508).

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

90660900 is a wasteful number, since it uses less digits than its factorization.

90660900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 90660900 is about 9521.6017560072. The cubic root of 90660900 is about 449.2347487661.

Multiplying 90660900 by its reverse (906609), we get a square (82193987888100 = 9066090²).

90660900 divided by its reverse (906609) gives a square (100 = 10²).

The spelling of 90660900 in words is "ninety million, six hundred sixty thousand, nine hundred".