1579963968 has 280 divisors, whose sum is σ = 5178064320. Its totient is φ = 472366080.

The previous prime is 1579963967. The next prime is 1579964017. The reversal of 1579963968 is 8693699751.

1579963968 is a `hidden beast` number, since 157 + 9 + 96 + 396 + 8 = 666.

It is a super-2 number, since 2×1579963968² = 4992572280356610048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1579963963) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5873338 + ... + 5873606.

Almost surely, 2^1579963968 is an apocalyptic number.

1579963968 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 1579963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589032160).

1579963968 is an abundant number, since it is smaller than the sum of its proper divisors (3598100352).

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

1579963968 is a wasteful number, since it uses less digits than its factorization.

1579963968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 1579963968 is about 39748.7605844509. The cubic root of 1579963968 is about 1164.7044306577.

The spelling of 1579963968 in words is "one billion, five hundred seventy-nine million, nine hundred sixty-three thousand, nine hundred sixty-eight".