747968 has 56 divisors (see below), whose sum is σ = 1706880. Its totient is φ = 322560.

The previous prime is 747953. The next prime is 747977. The reversal of 747968 is 869747.

It is a super-2 number, since 2×747968² = 1118912258048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

747968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24113 + ... + 24143.

It is an arithmetic number, because the mean of its divisors is an integer number (30480).

2⁷⁴⁷⁹⁶⁸ 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 747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853440).

747968 is an abundant number, since it is smaller than the sum of its proper divisors (958912).

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

747968 is a wasteful number, since it uses less digits than its factorization.

747968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 747968 is about 864.8514323281. The cubic root of 747968 is about 90.7739023369.

The spelling of 747968 in words is "seven hundred forty-seven thousand, nine hundred sixty-eight".