5625216 has 96 divisors (see below), whose sum is σ = 17105400. Its totient is φ = 1769472.

The previous prime is 5625187. The next prime is 5625223. The reversal of 5625216 is 6125265.

5625216 = 1² + 2² + ... + 256².

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5625216.

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, 21760 + ... + 22016.

Almost surely, 2^5625216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552700).

5625216 is an abundant number, since it is smaller than the sum of its proper divisors (11480184).

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

5625216 is a wasteful number, since it uses less digits than its factorization.

5625216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5625216 is about 2371.7537814874. The cubic root of 5625216 is about 177.8469416071.

It can be divided in two parts, 562 and 5216, that multiplied together give a palindrome (2931392).

The spelling of 5625216 in words is "five million, six hundred twenty-five thousand, two hundred sixteen".