5689600 has 108 divisors (see below), whose sum is σ = 16221184. Its totient is φ = 1935360.

The previous prime is 5689591. The next prime is 5689613. The reversal of 5689600 is 69865.

It is an Ulam number.

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, 44737 + ... + 44863.

Almost surely, 2^5689600 is an apocalyptic number.

5689600 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 5689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110592).

5689600 is an abundant number, since it is smaller than the sum of its proper divisors (10531584).

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

5689600 is a wasteful number, since it uses less digits than its factorization.

5689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 5689600 is about 2385.2882425401. The cubic root of 5689600 is about 178.5228911892.

It can be divided in two parts, 56 and 89600, that multiplied together give a square (5017600 = 2240²).

The spelling of 5689600 in words is "five million, six hundred eighty-nine thousand, six hundred".