90762 has 16 divisors (see below), whose sum is σ = 207552. Its totient is φ = 25920.

The previous prime is 90749. The next prime is 90787. The reversal of 90762 is 26709.

It is a nialpdrome in base 11.

It is an unprimeable number.

90762 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1039 + ... + 1122.

It is an arithmetic number, because the mean of its divisors is an integer number (12972).

2⁹⁰⁷⁶² is an apocalyptic number.

90762 is an abundant number, since it is smaller than the sum of its proper divisors (116790).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103776).

90762 is a wasteful number, since it uses less digits than its factorization.

90762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 90762 is about 301.2673231534. The cubic root of 90762 is about 44.9401673946.

It can be divided in two parts, 907 and 62, that added together give a palindrome (969).

The spelling of 90762 in words is "ninety thousand, seven hundred sixty-two".