10747968 has 112 divisors (see below), whose sum is σ = 35503104. Its totient is φ = 2787840.

The previous prime is 10747967. The next prime is 10747973. The reversal of 10747968 is 86974701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10747968² = 231037632258048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10747963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14421 + ... + 15147.

It is an arithmetic number, because the mean of its divisors is an integer number (316992).

Almost surely, 2^10747968 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 10747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751552).

10747968 is an abundant number, since it is smaller than the sum of its proper divisors (24755136).

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

10747968 is a wasteful number, since it uses less digits than its factorization.

10747968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 10747968 is about 3278.4093704112. The cubic root of 10747968 is about 220.6863414194.

The spelling of 10747968 in words is "ten million, seven hundred forty-seven thousand, nine hundred sixty-eight".