11560960 has 48 divisors (see below), whose sum is σ = 27764100. Its totient is φ = 4620288.

The previous prime is 11560957. The next prime is 11560961. The reversal of 11560960 is 6906511.

It can be written as a sum of positive squares in 2 ways, for example, as 10445824 + 1115136 = 3232^2 + 1056^2 .

It is a super-2 number, since 2×11560960² = 267311592243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11560961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9676 + ... + 10804.

Almost surely, 2^11560960 is an apocalyptic number.

11560960 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 11560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882050).

11560960 is an abundant number, since it is smaller than the sum of its proper divisors (16203140).

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

11560960 is an equidigital number, since it uses as much as digits as its factorization.

11560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 11560960 is about 3400.1411735397. The cubic root of 11560960 is about 226.1160027856.

It can be divided in two parts, 115 and 60960, that added together give a triangular number (61075 = T₃₄₉).

The spelling of 11560960 in words is "eleven million, five hundred sixty thousand, nine hundred sixty".