10965120 has 64 divisors (see below), whose sum is σ = 34957440. Its totient is φ = 2923520.

The previous prime is 10965113. The next prime is 10965127. The reversal of 10965120 is 2156901.

It is an interprime number because it is at equal distance from previous prime (10965113) and next prime (10965127).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10965120² = 240467713228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10965127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (546210).

Almost surely, 2^10965120 is an apocalyptic number.

10965120 is a gapful number since it is divisible by the number (10) 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 10965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478720).

10965120 is an abundant number, since it is smaller than the sum of its proper divisors (23992320).

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

10965120 is an equidigital number, since it uses as much as digits as its factorization.

10965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 10965120 is about 3311.3622574403. The cubic root of 10965120 is about 222.1626922024.

It can be divided in two parts, 1096 and 5120, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 10965120 in words is "ten million, nine hundred sixty-five thousand, one hundred twenty".