90871200 has 288 divisors, whose sum is σ = 376225920. Its totient is φ = 20736000.

The previous prime is 90871177. The next prime is 90871217. The reversal of 90871200 is 217809.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150900 + ... + 151500.

It is an arithmetic number, because the mean of its divisors is an integer number (1306340).

Almost surely, 2^90871200 is an apocalyptic number.

90871200 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 90871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188112960).

90871200 is an abundant number, since it is smaller than the sum of its proper divisors (285354720).

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

90871200 is a wasteful number, since it uses less digits than its factorization.

90871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 90871200 is about 9532.6386693297. The cubic root of 90871200 is about 449.5818337581.

The spelling of 90871200 in words is "ninety million, eight hundred seventy-one thousand, two hundred".