5764968 has 96 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1680000.

The previous prime is 5764963. The next prime is 5765003. The reversal of 5764968 is 8694675.

It is a super-3 number, since 3×5764968³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5764963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22843 + ... + 23093.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 2^5764968 is an apocalyptic number.

5764968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5764968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

5764968 is an abundant number, since it is smaller than the sum of its proper divisors (11925432).

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

5764968 is a wasteful number, since it uses less digits than its factorization.

5764968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 296 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5764968 is about 2401.0347769243. The cubic root of 5764968 is about 179.3077112073.

It can be divided in two parts, 57 and 64968, that added together give a square (65025 = 255²).

The spelling of 5764968 in words is "five million, seven hundred sixty-four thousand, nine hundred sixty-eight".