90991200 has 144 divisors (see below), whose sum is σ = 305980416. Its totient is φ = 23462400.

The previous prime is 90991193. The next prime is 90991213. The reversal of 90991200 is 219909.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73789 + ... + 75011.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864).

Almost surely, 2^90991200 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 90991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

90991200 is an abundant number, since it is smaller than the sum of its proper divisors (214989216).

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

90991200 is a wasteful number, since it uses less digits than its factorization.

90991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 90991200 is about 9538.9307576898. The cubic root of 90991200 is about 449.7796452013.

The spelling of 90991200 in words is "ninety million, nine hundred ninety-one thousand, two hundred".