1580816160 has 576 divisors, whose sum is σ = 6878027520. Its totient is φ = 321085440.

The previous prime is 1580816147. The next prime is 1580816173. The reversal of 1580816160 is 616180851.

1580816160 is a `hidden beast` number, since 1 + 580 + 8 + 16 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1580816147) and next prime (1580816173).

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 95 ways as a sum of consecutive naturals, for example, 5876506 + ... + 5876774.

It is an arithmetic number, because the mean of its divisors is an integer number (11941020).

Almost surely, 2^1580816160 is an apocalyptic number.

1580816160 is a gapful number since it is divisible by the number (10) 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 1580816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439013760).

1580816160 is an abundant number, since it is smaller than the sum of its proper divisors (5297211360).

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

1580816160 is a wasteful number, since it uses less digits than its factorization.

1580816160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1580816160 is about 39759.4788698242. The cubic root of 1580816160 is about 1164.9137969090.

The spelling of 1580816160 in words is "one billion, five hundred eighty million, eight hundred sixteen thousand, one hundred sixty".