90319008 has 144 divisors (see below), whose sum is σ = 271162080. Its totient is φ = 26237952.

The previous prime is 90318983. The next prime is 90319013. The reversal of 90319008 is 80091309.

It is a happy number.

It is a super-2 number, since 2×90319008² = 16315046412208128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308110 + ... + 308402.

It is an arithmetic number, because the mean of its divisors is an integer number (1883070).

Almost surely, 2^90319008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90319008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135581040).

90319008 is an abundant number, since it is smaller than the sum of its proper divisors (180843072).

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

90319008 is a wasteful number, since it uses less digits than its factorization.

90319008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 90319008 is about 9503.6313059798. The cubic root of 90319008 is about 448.6693332449.

The spelling of 90319008 in words is "ninety million, three hundred nineteen thousand, eight".