80585664 has 112 divisors (see below), whose sum is σ = 226588320. Its totient is φ = 25231360.

The previous prime is 80585663. The next prime is 80585677. The reversal of 80585664 is 46658508.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80585663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228112 + ... + 228464.

It is an arithmetic number, because the mean of its divisors is an integer number (2023110).

Almost surely, 2^80585664 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 80585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113294160).

80585664 is an abundant number, since it is smaller than the sum of its proper divisors (146002656).

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

80585664 is a wasteful number, since it uses less digits than its factorization.

80585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 80585664 is about 8976.9518211919. The cubic root of 80585664 is about 431.9358615342.

The spelling of 80585664 in words is "eighty million, five hundred eighty-five thousand, six hundred sixty-four".