90347328 has 84 divisors (see below), whose sum is σ = 261696708. Its totient is φ = 29798400.

The previous prime is 90347321. The next prime is 90347329. The reversal of 90347328 is 82374309.

It can be written as a sum of positive squares in 2 ways, for example, as 50808384 + 39538944 = 7128^2 + 6288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 90347292 and 90347301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90347321) 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 11 ways as a sum of consecutive naturals, for example, 57400 + ... + 58952.

It is an arithmetic number, because the mean of its divisors is an integer number (3115437).

Almost surely, 2^90347328 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 90347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130848354).

90347328 is an abundant number, since it is smaller than the sum of its proper divisors (171349380).

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

90347328 is a wasteful number, since it uses less digits than its factorization.

90347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 90347328 is about 9505.1211459928. The cubic root of 90347328 is about 448.7162225542.

The spelling of 90347328 in words is "ninety million, three hundred forty-seven thousand, three hundred twenty-eight".