5968776 has 64 divisors (see below), whose sum is σ = 17003520. Its totient is φ = 1728320.

The previous prime is 5968759. The next prime is 5968783. The reversal of 5968776 is 6778695.

It is a d-powerful number, because it can be written as 5³ + 9⁴ + 6³ + 8⁵ + 7⁶ + 7⁸ + 6⁶ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5581 + ... + 6563.

It is an arithmetic number, because the mean of its divisors is an integer number (265680).

Almost surely, 2^5968776 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 5968776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8501760).

5968776 is an abundant number, since it is smaller than the sum of its proper divisors (11034744).

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

5968776 is a wasteful number, since it uses less digits than its factorization.

5968776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 5968776 is about 2443.1078568086. The cubic root of 5968776 is about 181.3963010607.

The spelling of 5968776 in words is "five million, nine hundred sixty-eight thousand, seven hundred seventy-six".