5689200 has 120 divisors (see below), whose sum is σ = 19927296. Its totient is φ = 1376000.

The previous prime is 5689183. The next prime is 5689207. The reversal of 5689200 is 29865.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5689207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12985 + ... + 13415.

Almost surely, 2^5689200 is an apocalyptic number.

5689200 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 5689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963648).

5689200 is an abundant number, since it is smaller than the sum of its proper divisors (14238096).

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

5689200 is a wasteful number, since it uses less digits than its factorization.

5689200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5689200 is about 2385.2043937575. The cubic root of 5689200 is about 178.5187074839.

The spelling of 5689200 in words is "five million, six hundred eighty-nine thousand, two hundred".