80632864 has 48 divisors (see below), whose sum is σ = 171884160. Its totient is φ = 37013760.

The previous prime is 80632837. The next prime is 80632883. The reversal of 80632864 is 46823608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99019 + ... + 99829.

It is an arithmetic number, because the mean of its divisors is an integer number (3580920).

Almost surely, 2^80632864 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 80632864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85942080).

80632864 is an abundant number, since it is smaller than the sum of its proper divisors (91251296).

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

80632864 is a wasteful number, since it uses less digits than its factorization.

80632864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 80632864 is about 8979.5803910873. The cubic root of 80632864 is about 432.0201750980.

It can be divided in two parts, 806 and 32864, that added together give a triangular number (33670 = T₂₅₉).

The spelling of 80632864 in words is "eighty million, six hundred thirty-two thousand, eight hundred sixty-four".