5968920 has 32 divisors (see below), whose sum is σ = 17907120. Its totient is φ = 1591680.

The previous prime is 5968909. The next prime is 5968927. The reversal of 5968920 is 298695.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5968927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24751 + ... + 24990.

Almost surely, 2^5968920 is an apocalyptic number.

It is an amenable number.

5968920 is an abundant number, since it is smaller than the sum of its proper divisors (11938200).

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

5968920 is a wasteful number, since it uses less digits than its factorization.

5968920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49755 (or 49751 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 5968920 is about 2443.1373272905. The cubic root of 5968920 is about 181.3977598108.

The spelling of 5968920 in words is "five million, nine hundred sixty-eight thousand, nine hundred twenty".