1579020960 has 288 divisors, whose sum is σ = 5649993216. Its totient is φ = 370022400.

The previous prime is 1579020943. The next prime is 1579021007. The reversal of 1579020960 is 690209751.

1579020960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800042 + ... + 1800918.

It is an arithmetic number, because the mean of its divisors is an integer number (19618032).

Almost surely, 2^1579020960 is an apocalyptic number.

1579020960 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 1579020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824996608).

1579020960 is an abundant number, since it is smaller than the sum of its proper divisors (4070972256).

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

1579020960 is a wasteful number, since it uses less digits than its factorization.

1579020960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 1579020960 is about 39736.8967082232. The cubic root of 1579020960 is about 1164.4726649964.

The spelling of 1579020960 in words is "one billion, five hundred seventy-nine million, twenty thousand, nine hundred sixty".