1580040896 has 112 divisors (see below), whose sum is σ = 3706368000. Its totient is φ = 654179328.

The previous prime is 1580040881. The next prime is 1580040907. The reversal of 1580040896 is 6980400851.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3298385 + ... + 3298863.

Almost surely, 2^1580040896 is an apocalyptic number.

1580040896 is a gapful number since it is divisible by the number (16) 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 1580040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853184000).

1580040896 is an abundant number, since it is smaller than the sum of its proper divisors (2126327104).

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

1580040896 is a wasteful number, since it uses less digits than its factorization.

1580040896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 1580040896 is about 39749.7282506434. The cubic root of 1580040896 is about 1164.7233333944.

The spelling of 1580040896 in words is "one billion, five hundred eighty million, forty thousand, eight hundred ninety-six".