5879600 has 30 divisors (see below), whose sum is σ = 14126700. Its totient is φ = 2351680.

The previous prime is 5879597. The next prime is 5879611. The reversal of 5879600 is 69785.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6950 + ... + 7749.

It is an arithmetic number, because the mean of its divisors is an integer number (470890).

Almost surely, 2^5879600 is an apocalyptic number.

5879600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5879600 is an abundant number, since it is smaller than the sum of its proper divisors (8247100).

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

5879600 is a wasteful number, since it uses less digits than its factorization.

5879600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14717 (or 14706 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 5879600 is about 2424.7886505838. The cubic root of 5879600 is about 180.4883856217.

The spelling of 5879600 in words is "five million, eight hundred seventy-nine thousand, six hundred".