80664192 has 144 divisors (see below), whose sum is σ = 270205650. Its totient is φ = 23030784.

The previous prime is 80664163. The next prime is 80664203. The reversal of 80664192 is 29146608.

80664192 is a `hidden beast` number, since 8 + 0 + 6 + 641 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79281216 + 1382976 = 8904^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55734 + ... + 57162.

Almost surely, 2^80664192 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 80664192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135102825).

80664192 is an abundant number, since it is smaller than the sum of its proper divisors (189541458).

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

80664192 is a wasteful number, since it uses less digits than its factorization.

80664192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80664192 is about 8981.3246239071. The cubic root of 80664192 is about 432.0761182744.

The spelling of 80664192 in words is "eighty million, six hundred sixty-four thousand, one hundred ninety-two".