5217600 has 84 divisors (see below), whose sum is σ = 17133824. Its totient is φ = 1390080.

The previous prime is 5217587. The next prime is 5217601. The reversal of 5217600 is 67125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5217601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4257 + ... + 5343.

Almost surely, 2^5217600 is an apocalyptic number.

5217600 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 5217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8566912).

5217600 is an abundant number, since it is smaller than the sum of its proper divisors (11916224).

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

5217600 is a wasteful number, since it uses less digits than its factorization.

5217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5217600 is about 2284.2066456431. The cubic root of 5217600 is about 173.4430600441.

The spelling of 5217600 in words is "five million, two hundred seventeen thousand, six hundred".