90832764 has 72 divisors (see below), whose sum is σ = 238097664. Its totient is φ = 26939440.

The previous prime is 90832639. The next prime is 90832783. The reversal of 90832764 is 46723809.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1932589 + ... + 1932635.

It is an arithmetic number, because the mean of its divisors is an integer number (3306912).

Almost surely, 2^90832764 is an apocalyptic number.

90832764 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90832764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119048832).

90832764 is an abundant number, since it is smaller than the sum of its proper divisors (147264900).

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

90832764 is an equidigital number, since it uses as much as digits as its factorization.

90832764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 90832764 is about 9530.6224350774. The cubic root of 90832764 is about 449.5184379324.

The spelling of 90832764 in words is "ninety million, eight hundred thirty-two thousand, seven hundred sixty-four".