5667200 has 192 divisors, whose sum is σ = 18213120. Its totient is φ = 1689600.

The previous prime is 5667199. The next prime is 5667217. The reversal of 5667200 is 27665.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5667200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246389 + ... + 246411.

It is an arithmetic number, because the mean of its divisors is an integer number (94860).

Almost surely, 2^5667200 is an apocalyptic number.

5667200 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 5667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

5667200 is an abundant number, since it is smaller than the sum of its proper divisors (12545920).

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

5667200 is a wasteful number, since it uses less digits than its factorization.

5667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 5667200 is about 2380.5881626186. The cubic root of 5667200 is about 178.2883010488.

The spelling of 5667200 in words is "five million, six hundred sixty-seven thousand, two hundred".