90856320 has 128 divisors (see below), whose sum is σ = 293760000. Its totient is φ = 23881728.

The previous prime is 90856303. The next prime is 90856327. The reversal of 90856320 is 2365809.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90856327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151381 + ... + 151979.

It is an arithmetic number, because the mean of its divisors is an integer number (2295000).

Almost surely, 2^90856320 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 90856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

90856320 is an abundant number, since it is smaller than the sum of its proper divisors (202903680).

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

90856320 is a wasteful number, since it uses less digits than its factorization.

90856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 90856320 is about 9531.8581609254. The cubic root of 90856320 is about 449.5572930057.

The spelling of 90856320 in words is "ninety million, eight hundred fifty-six thousand, three hundred twenty".