5665968 has 180 divisors, whose sum is σ = 20398248. Its totient is φ = 1451520.

The previous prime is 5665967. The next prime is 5665969. The reversal of 5665968 is 8695665.

5665968 is a `hidden beast` number, since 56 + 6 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5665967) and next prime (5665969).

Its product of digits (388800) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5665967) 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 35 ways as a sum of consecutive naturals, for example, 77580 + ... + 77652.

Almost surely, 2^5665968 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 5665968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199124).

5665968 is an abundant number, since it is smaller than the sum of its proper divisors (14732280).

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

5665968 is a wasteful number, since it uses less digits than its factorization.

5665968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 5665968 is about 2380.3293889712. The cubic root of 5665968 is about 178.2753806704.

The spelling of 5665968 in words is "five million, six hundred sixty-five thousand, nine hundred sixty-eight".