90408288 has 24 divisors (see below), whose sum is σ = 237322008. Its totient is φ = 30136064.

The previous prime is 90408281. The next prime is 90408313. The reversal of 90408288 is 88280409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90408281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470781 + ... + 470972.

It is an arithmetic number, because the mean of its divisors is an integer number (9888417).

Almost surely, 2^90408288 is an apocalyptic number.

It is an amenable number.

90408288 is an abundant number, since it is smaller than the sum of its proper divisors (146913720).

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

90408288 is a wasteful number, since it uses less digits than its factorization.

90408288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941766 (or 941758 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 90408288 is about 9508.3272976902. The cubic root of 90408288 is about 448.8171205431.

The spelling of 90408288 in words is "ninety million, four hundred eight thousand, two hundred eighty-eight".