90168760 has 64 divisors (see below), whose sum is σ = 223624800. Its totient is φ = 32448000.

The previous prime is 90168751. The next prime is 90168769. The reversal of 90168760 is 6786109.

It is an interprime number because it is at equal distance from previous prime (90168751) and next prime (90168769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90168769) 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, 43426 + ... + 45454.

Almost surely, 2^90168760 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 90168760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111812400).

90168760 is an abundant number, since it is smaller than the sum of its proper divisors (133456040).

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

90168760 is a wasteful number, since it uses less digits than its factorization.

90168760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 90168760 is about 9495.7232478627. The cubic root of 90168760 is about 448.4204041567.

The spelling of 90168760 in words is "ninety million, one hundred sixty-eight thousand, seven hundred sixty".