5616864 has 120 divisors (see below), whose sum is σ = 18112248. Its totient is φ = 1693440.

The previous prime is 5616857. The next prime is 5616869. The reversal of 5616864 is 4686165.

It is a super-2 number, since 2×5616864² = 63098322388992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5616869) 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 19 ways as a sum of consecutive naturals, for example, 28414 + ... + 28610.

Almost surely, 2^5616864 is an apocalyptic number.

5616864 is a gapful number since it is divisible by the number (54) 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 5616864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056124).

5616864 is an abundant number, since it is smaller than the sum of its proper divisors (12495384).

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

5616864 is a wasteful number, since it uses less digits than its factorization.

5616864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5616864 is about 2369.9924050511. The cubic root of 5616864 is about 177.7588790095.

Adding to 5616864 its sum of digits (36), we get a square (5616900 = 2370²).

The spelling of 5616864 in words is "five million, six hundred sixteen thousand, eight hundred sixty-four".