5785968 has 40 divisors (see below), whose sum is σ = 15066000. Its totient is φ = 1913344.

The previous prime is 5785891. The next prime is 5785973. The reversal of 5785968 is 8695875.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 5 + 7⁸ + 8² + 5⁶ + 9² + 6⁴ + 8⁴ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6748 + ... + 7556.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 2^5785968 is an apocalyptic number.

It is an amenable number.

5785968 is an abundant number, since it is smaller than the sum of its proper divisors (9280032).

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

5785968 is a wasteful number, since it uses less digits than its factorization.

5785968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 963 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 5785968 is about 2405.4039161854. The cubic root of 5785968 is about 179.5251682702.

The spelling of 5785968 in words is "five million, seven hundred eighty-five thousand, nine hundred sixty-eight".