90524800 has 48 divisors (see below), whose sum is σ = 223632450. Its totient is φ = 36208640.

The previous prime is 90524771. The next prime is 90524807. The reversal of 90524800 is 842509.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 84492864 + 6031936 = 9192^2 + 2456^2 .

It is not an unprimeable number, because it can be changed into a prime (90524807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10945 + ... + 17344.

Almost surely, 2^90524800 is an apocalyptic number.

It is an amenable number.

90524800 is an abundant number, since it is smaller than the sum of its proper divisors (133107650).

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

90524800 is a wasteful number, since it uses less digits than its factorization.

90524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28313 (or 28296 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 90524800 is about 9514.4521649962. The cubic root of 90524800 is about 449.0098393520.

The spelling of 90524800 in words is "ninety million, five hundred twenty-four thousand, eight hundred".