80590560 has 96 divisors (see below), whose sum is σ = 255104640. Its totient is φ = 21385728.

The previous prime is 80590547. The next prime is 80590589. The reversal of 80590560 is 6509508.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×80590560² = 12989676722227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181699 + ... + 182141.

It is an arithmetic number, because the mean of its divisors is an integer number (2657340).

Almost surely, 2^80590560 is an apocalyptic number.

80590560 is a gapful number since it is divisible by the number (80) 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 80590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127552320).

80590560 is an abundant number, since it is smaller than the sum of its proper divisors (174514080).

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

80590560 is a wasteful number, since it uses less digits than its factorization.

80590560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 80590560 is about 8977.2245154056. The cubic root of 80590560 is about 431.9446088102.

The spelling of 80590560 in words is "eighty million, five hundred ninety thousand, five hundred sixty".