90768 has 40 divisors (see below), whose sum is σ = 246016. Its totient is φ = 28800.

The previous prime is 90749. The next prime is 90787. The reversal of 90768 is 86709.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90749) and next prime (90787).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1458 + ... + 1518.

2⁹⁰⁷⁶⁸ 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 90768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123008).

90768 is an abundant number, since it is smaller than the sum of its proper divisors (155248).

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

90768 is a wasteful number, since it uses less digits than its factorization.

90768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 90768 is about 301.2772809224. The cubic root of 90768 is about 44.9411576587.

It can be divided in two parts, 90 and 768, that added together give a palindrome (858).

The spelling of 90768 in words is "ninety thousand, seven hundred sixty-eight".