90243200 has 48 divisors (see below), whose sum is σ = 222936810. Its totient is φ = 36096000.

The previous prime is 90243199. The next prime is 90243227. The reversal of 90243200 is 234209.

It can be written as a sum of positive squares in 3 ways, for example, as 73136704 + 17106496 = 8552^2 + 4136^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10901 + ... + 17300.

Almost surely, 2^90243200 is an apocalyptic number.

It is an amenable number.

90243200 is an abundant number, since it is smaller than the sum of its proper divisors (132693610).

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

90243200 is a wasteful number, since it uses less digits than its factorization.

90243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28225 (or 28208 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 90243200 is about 9499.6420985214. The cubic root of 90243200 is about 448.5437699921.

Adding to 90243200 its reverse (234209), we get a palindrome (90477409).

The spelling of 90243200 in words is "ninety million, two hundred forty-three thousand, two hundred".