5679600 has 60 divisors (see below), whose sum is σ = 18197496. Its totient is φ = 1514240.

The previous prime is 5679593. The next prime is 5679601. The reversal of 5679600 is 69765.

5679600 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5679601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167 + ... + 3566.

Almost surely, 2^5679600 is an apocalyptic number.

5679600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5679600 is an abundant number, since it is smaller than the sum of its proper divisors (12517896).

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

5679600 is a wasteful number, since it uses less digits than its factorization.

5679600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 5679600 is about 2383.1911379493. The cubic root of 5679600 is about 178.4182396709.

The spelling of 5679600 in words is "five million, six hundred seventy-nine thousand, six hundred".