90375168 has 176 divisors, whose sum is σ = 271448576. Its totient is φ = 26542080.

The previous prime is 90375163. The next prime is 90375209. The reversal of 90375168 is 86157309.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (90375163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237980 + ... + 1238052.

Almost surely, 2^90375168 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 90375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135724288).

90375168 is an abundant number, since it is smaller than the sum of its proper divisors (181073408).

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

90375168 is a wasteful number, since it uses less digits than its factorization.

90375168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 90375168 is about 9506.5855068999. The cubic root of 90375168 is about 448.7623075796.

The spelling of 90375168 in words is "ninety million, three hundred seventy-five thousand, one hundred sixty-eight".