90282168 has 128 divisors (see below), whose sum is σ = 263424000. Its totient is φ = 28615680.

The previous prime is 90282163. The next prime is 90282169. The reversal of 90282168 is 86128209.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90282163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649443 + ... + 649581.

It is an arithmetic number, because the mean of its divisors is an integer number (2058000).

Almost surely, 2^90282168 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 90282168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131712000).

90282168 is an abundant number, since it is smaller than the sum of its proper divisors (173141832).

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

90282168 is a wasteful number, since it uses less digits than its factorization.

90282168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90282168 is about 9501.6929017939. The cubic root of 90282168 is about 448.6083227354.

The spelling of 90282168 in words is "ninety million, two hundred eighty-two thousand, one hundred sixty-eight".