80584056 has 96 divisors (see below), whose sum is σ = 250754400. Its totient is φ = 22901760.

The previous prime is 80584051. The next prime is 80584057. The reversal of 80584056 is 65048508.

It is a happy number.

It is a super-2 number, since 2×80584056² = 12987580162822272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80584056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80584051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141340 + ... + 141908.

It is an arithmetic number, because the mean of its divisors is an integer number (2612025).

Almost surely, 2^80584056 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 80584056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125377200).

80584056 is an abundant number, since it is smaller than the sum of its proper divisors (170170344).

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

80584056 is a wasteful number, since it uses less digits than its factorization.

80584056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 80584056 is about 8976.8622580499. The cubic root of 80584056 is about 431.9329885770.

The spelling of 80584056 in words is "eighty million, five hundred eighty-four thousand, fifty-six".