5979264 has 64 divisors (see below), whose sum is σ = 16597440. Its totient is φ = 1903616.

The previous prime is 5979229. The next prime is 5979269. The reversal of 5979264 is 4629795.

5979264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5979269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8494 + ... + 9170.

It is an arithmetic number, because the mean of its divisors is an integer number (259335).

Almost surely, 2^5979264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298720).

5979264 is an abundant number, since it is smaller than the sum of its proper divisors (10618176).

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

5979264 is a wasteful number, since it uses less digits than its factorization.

5979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 705 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 5979264 is about 2445.2533611060. The cubic root of 5979264 is about 181.5024853760.

The spelling of 5979264 in words is "five million, nine hundred seventy-nine thousand, two hundred sixty-four".