90997200 has 360 divisors, whose sum is σ = 378987648. Its totient is φ = 19768320.

The previous prime is 90997199. The next prime is 90997241. The reversal of 90997200 is 279909.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 579522 + ... + 579678.

Almost surely, 2^90997200 is an apocalyptic number.

90997200 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 90997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189493824).

90997200 is an abundant number, since it is smaller than the sum of its proper divisors (287990448).

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

90997200 is a wasteful number, since it uses less digits than its factorization.

90997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 90997200 is about 9539.2452531634. The cubic root of 90997200 is about 449.7895312069.

The spelling of 90997200 in words is "ninety million, nine hundred ninety-seven thousand, two hundred".