90359136 has 216 divisors, whose sum is σ = 315577080. Its totient is φ = 24385536.

The previous prime is 90359123. The next prime is 90359167. The reversal of 90359136 is 63195309.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90359136.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 267960 + ... + 268296.

It is an arithmetic number, because the mean of its divisors is an integer number (1461005).

Almost surely, 2^90359136 is an apocalyptic number.

90359136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90359136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157788540).

90359136 is an abundant number, since it is smaller than the sum of its proper divisors (225217944).

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

90359136 is a wasteful number, since it uses less digits than its factorization.

90359136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 90359136 is about 9505.7422645473. The cubic root of 90359136 is about 448.7357701175.

The spelling of 90359136 in words is "ninety million, three hundred fifty-nine thousand, one hundred thirty-six".