5617656 has 96 divisors (see below), whose sum is σ = 17100720. Its totient is φ = 1651200.

The previous prime is 5617643. The next prime is 5617657. The reversal of 5617656 is 6567165.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5617656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5617657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32386 + ... + 32558.

Almost surely, 2^5617656 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 5617656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550360).

5617656 is an abundant number, since it is smaller than the sum of its proper divisors (11483064).

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

5617656 is a wasteful number, since it uses less digits than its factorization.

5617656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 230 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5617656 is about 2370.1594883045. The cubic root of 5617656 is about 177.7672335181.

The spelling of 5617656 in words is "five million, six hundred seventeen thousand, six hundred fifty-six".