90331200 has 420 divisors, whose sum is σ = 360141012. Its totient is φ = 22118400.

The previous prime is 90331169. The next prime is 90331211. The reversal of 90331200 is 213309.

It can be written as a sum of positive squares in 6 ways, for example, as 6718464 + 83612736 = 2592^2 + 9144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2203180 + ... + 2203220.

Almost surely, 2^90331200 is an apocalyptic number.

90331200 is a gapful number since it is divisible by the number (90) 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 90331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180070506).

90331200 is an abundant number, since it is smaller than the sum of its proper divisors (269809812).

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

90331200 is a wasteful number, since it uses less digits than its factorization.

90331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 90331200 is about 9504.2727233597. The cubic root of 90331200 is about 448.6895206912.

Adding to 90331200 its reverse (213309), we get a palindrome (90544509).

The spelling of 90331200 in words is "ninety million, three hundred thirty-one thousand, two hundred".