90033600 has 84 divisors (see below), whose sum is σ = 295400984. Its totient is φ = 24007680.

The previous prime is 90033577. The next prime is 90033607. The reversal of 90033600 is 633009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90033607) 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, 4579 + ... + 14178.

Almost surely, 2^90033600 is an apocalyptic number.

It is an amenable number.

90033600 is an abundant number, since it is smaller than the sum of its proper divisors (205367384).

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

90033600 is a wasteful number, since it uses less digits than its factorization.

90033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18782 (or 18767 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 90033600 is about 9488.6036907440. The cubic root of 90033600 is about 448.1962363095.

Adding to 90033600 its reverse (633009), we get a palindrome (90666609).

The spelling of 90033600 in words is "ninety million, thirty-three thousand, six hundred".