90801288 has 36 divisors (see below), whose sum is σ = 246139335. Its totient is φ = 30240144.

The previous prime is 90801259. The next prime is 90801307. The reversal of 90801288 is 88210809.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 45400644 + 45400644 = 6738^2 + 6738^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6738.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80295 + ... + 81417.

Almost surely, 2^90801288 is an apocalyptic number.

It is an amenable number.

90801288 is an abundant number, since it is smaller than the sum of its proper divisors (155338047).

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

90801288 is a wasteful number, since it uses less digits than its factorization.

90801288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 90801288 is about 9528.9709832699. The cubic root of 90801288 is about 449.4665085170.

The spelling of 90801288 in words is "ninety million, eight hundred one thousand, two hundred eighty-eight".