90983200 has 216 divisors, whose sum is σ = 283200624. Its totient is φ = 28224000.

The previous prime is 90983197. The next prime is 90983209. The reversal of 90983200 is 238909.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90983209) 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 35 ways as a sum of consecutive naturals, for example, 431095 + ... + 431305.

It is an arithmetic number, because the mean of its divisors is an integer number (1311114).

Almost surely, 2^90983200 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 90983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141600312).

90983200 is an abundant number, since it is smaller than the sum of its proper divisors (192217424).

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

90983200 is a wasteful number, since it uses less digits than its factorization.

90983200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 90983200 is about 9538.5114142617. The cubic root of 90983200 is about 449.7664631843.

The spelling of 90983200 in words is "ninety million, nine hundred eighty-three thousand, two hundred".