5979568 has 60 divisors (see below), whose sum is σ = 13994640. Its totient is φ = 2464896.

The previous prime is 5979551. The next prime is 5979581. The reversal of 5979568 is 8659795.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 11 ways as a sum of consecutive naturals, for example, 22605 + ... + 22867.

It is an arithmetic number, because the mean of its divisors is an integer number (233244).

Almost surely, 2^5979568 is an apocalyptic number.

5979568 is a gapful number since it is divisible by the number (58) 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 5979568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997320).

5979568 is an abundant number, since it is smaller than the sum of its proper divisors (8015072).

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

5979568 is a wasteful number, since it uses less digits than its factorization.

5979568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its digits is 680400, while the sum is 49.

The square root of 5979568 is about 2445.3155215636. The cubic root of 5979568 is about 181.5055613299.

The spelling of 5979568 in words is "five million, nine hundred seventy-nine thousand, five hundred sixty-eight".