90157056 has 208 divisors, whose sum is σ = 283080960. Its totient is φ = 25231360.

The previous prime is 90157003. The next prime is 90157057. The reversal of 90157056 is 65075109.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (90157057) 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 15 ways as a sum of consecutive naturals, for example, 3108850 + ... + 3108878.

Almost surely, 2^90157056 is an apocalyptic number.

90157056 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 90157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141540480).

90157056 is an abundant number, since it is smaller than the sum of its proper divisors (192923904).

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

90157056 is a wasteful number, since it uses less digits than its factorization.

90157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 90157056 is about 9495.1069504245. The cubic root of 90157056 is about 448.4010015036.

The spelling of 90157056 in words is "ninety million, one hundred fifty-seven thousand, fifty-six".