1580611968 has 224 divisors, whose sum is σ = 5088221040. Its totient is φ = 485968896.

The previous prime is 1580611909. The next prime is 1580611997. The reversal of 1580611968 is 8691160851.

1580611968 is a `hidden beast` number, since 1 + 580 + 6 + 1 + 1 + 9 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1212405 + ... + 1213707.

Almost surely, 2^1580611968 is an apocalyptic number.

1580611968 is a gapful number since it is divisible by the number (18) 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 1580611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544110520).

1580611968 is an abundant number, since it is smaller than the sum of its proper divisors (3507609072).

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

1580611968 is an equidigital number, since it uses as much as digits as its factorization.

1580611968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1580611968 is about 39756.9109464002. The cubic root of 1580611968 is about 1164.8636379412.

The spelling of 1580611968 in words is "one billion, five hundred eighty million, six hundred eleven thousand, nine hundred sixty-eight".