10965816 has 96 divisors (see below), whose sum is σ = 32572800. Its totient is φ = 3329280.

The previous prime is 10965811. The next prime is 10965821. The reversal of 10965816 is 61856901.

10965816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10965811) and next prime (10965821).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10965811) 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, 353721 + ... + 353751.

It is an arithmetic number, because the mean of its divisors is an integer number (339300).

Almost surely, 2^10965816 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 10965816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286400).

10965816 is an abundant number, since it is smaller than the sum of its proper divisors (21606984).

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

10965816 is a wasteful number, since it uses less digits than its factorization.

10965816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10965816 is about 3311.4673484726. The cubic root of 10965816 is about 222.1673926210.

It can be divided in two parts, 10965 and 816, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 10965816 in words is "ten million, nine hundred sixty-five thousand, eight hundred sixteen".