90302256 has 160 divisors (see below), whose sum is σ = 292362240. Its totient is φ = 26438400.

The previous prime is 90302243. The next prime is 90302297. The reversal of 90302256 is 65220309.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147006 + ... + 147618.

It is an arithmetic number, because the mean of its divisors is an integer number (1827264).

Almost surely, 2^90302256 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 90302256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146181120).

90302256 is an abundant number, since it is smaller than the sum of its proper divisors (202059984).

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

90302256 is a wasteful number, since it uses less digits than its factorization.

90302256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 90302256 is about 9502.7499177870. The cubic root of 90302256 is about 448.6415924124.

The spelling of 90302256 in words is "ninety million, three hundred two thousand, two hundred fifty-six".