5675600 has 60 divisors (see below), whose sum is σ = 15591264. Its totient is φ = 1944960.

The previous prime is 5675599. The next prime is 5675633. The reversal of 5675600 is 65765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1787 + ... + 3813.

Almost surely, 2^5675600 is an apocalyptic number.

5675600 is a gapful number since it is divisible by the number (50) 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 5675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795632).

5675600 is an abundant number, since it is smaller than the sum of its proper divisors (9915664).

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

5675600 is a wasteful number, since it uses less digits than its factorization.

5675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 5675600 is about 2382.3517792299. The cubic root of 5675600 is about 178.3763446686.

The spelling of 5675600 in words is "five million, six hundred seventy-five thousand, six hundred".