5678600 has 24 divisors (see below), whose sum is σ = 13203210. Its totient is φ = 2271360.

The previous prime is 5678593. The next prime is 5678609. The reversal of 5678600 is 68765.

It can be written as a sum of positive squares in 3 ways, for example, as 5410276 + 268324 = 2326^2 + 518^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5678609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13997 + ... + 14396.

Almost surely, 2^5678600 is an apocalyptic number.

5678600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5678600 is an abundant number, since it is smaller than the sum of its proper divisors (7524610).

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

5678600 is a wasteful number, since it uses less digits than its factorization.

5678600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28409 (or 28400 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 5678600 is about 2382.9813259864. The cubic root of 5678600 is about 178.4077677649.

The spelling of 5678600 in words is "five million, six hundred seventy-eight thousand, six hundred".