90936900 has 108 divisors (see below), whose sum is σ = 288870400. Its totient is φ = 23924160.

The previous prime is 90936887. The next prime is 90936913. The reversal of 90936900 is 963909.

It is an interprime number because it is at equal distance from previous prime (90936887) and next prime (90936913).

It is a super-2 number, since 2×90936900² = 16539039563220000, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70461 + ... + 71739.

Almost surely, 2^90936900 is an apocalyptic number.

90936900 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 90936900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144435200).

90936900 is an abundant number, since it is smaller than the sum of its proper divisors (197933500).

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

90936900 is a wasteful number, since it uses less digits than its factorization.

90936900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 90936900 is about 9536.0841019781. The cubic root of 90936900 is about 449.6901570801.

The spelling of 90936900 in words is "ninety million, nine hundred thirty-six thousand, nine hundred".