5968008 has 24 divisors (see below), whose sum is σ = 16163550. Its totient is φ = 1989312.

The previous prime is 5968007. The next prime is 5968009. The reversal of 5968008 is 8008695.

It is an interprime number because it is at equal distance from previous prime (5968007) and next prime (5968009).

It can be written as a sum of positive squares in only one way, i.e., 4334724 + 1633284 = 2082^2 + 1278^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (5968007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41373 + ... + 41516.

Almost surely, 2^5968008 is an apocalyptic number.

It is an amenable number.

5968008 is an abundant number, since it is smaller than the sum of its proper divisors (10195542).

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

5968008 is a wasteful number, since it uses less digits than its factorization.

5968008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82901 (or 82894 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5968008 is about 2442.9506749012. The cubic root of 5968008 is about 181.3885206640.

The spelling of 5968008 in words is "five million, nine hundred sixty-eight thousand, eight".