90759168 has 84 divisors (see below), whose sum is σ = 262390128. Its totient is φ = 30228480.

The previous prime is 90759167. The next prime is 90759203. The reversal of 90759168 is 86195709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90759167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73113 + ... + 74343.

It is an arithmetic number, because the mean of its divisors is an integer number (3123692).

Almost surely, 2^90759168 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 90759168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131195064).

90759168 is an abundant number, since it is smaller than the sum of its proper divisors (171630960).

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

90759168 is a wasteful number, since it uses less digits than its factorization.

90759168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 90759168 is about 9526.7606246825. The cubic root of 90759168 is about 449.3969997476.

The spelling of 90759168 in words is "ninety million, seven hundred fifty-nine thousand, one hundred sixty-eight".