10965768 has 64 divisors (see below), whose sum is σ = 30369600. Its totient is φ = 3271680.

The previous prime is 10965767. The next prime is 10965769. The reversal of 10965768 is 86756901.

It is an interprime number because it is at equal distance from previous prime (10965767) and next prime (10965769).

It is not an unprimeable number, because it can be changed into a prime (10965763) 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, 18988 + ... + 19556.

It is an arithmetic number, because the mean of its divisors is an integer number (474525).

Almost surely, 2^10965768 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 10965768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15184800).

10965768 is an abundant number, since it is smaller than the sum of its proper divisors (19403832).

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

10965768 is a wasteful number, since it uses less digits than its factorization.

10965768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 10965768 is about 3311.4601009223. The cubic root of 10965768 is about 222.1670684606.

The spelling of 10965768 in words is "ten million, nine hundred sixty-five thousand, seven hundred sixty-eight".