90843200 has 84 divisors (see below), whose sum is σ = 255495552. Its totient is φ = 31142400.

The previous prime is 90843191. The next prime is 90843209. The reversal of 90843200 is 234809.

It is an interprime number because it is at equal distance from previous prime (90843191) and next prime (90843209).

It is a self number, because there is not a number n which added to its sum of digits gives 90843200.

It is not an unprimeable number, because it can be changed into a prime (90843209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7145 + ... + 15255.

Almost surely, 2^90843200 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 90843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127747776).

90843200 is an abundant number, since it is smaller than the sum of its proper divisors (164652352).

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

90843200 is a wasteful number, since it uses less digits than its factorization.

90843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 90843200 is about 9531.1699176964. The cubic root of 90843200 is about 449.5356527000.

The spelling of 90843200 in words is "ninety million, eight hundred forty-three thousand, two hundred".