11456960 has 28 divisors (see below), whose sum is σ = 27282648. Its totient is φ = 4582656.

The previous prime is 11456953. The next prime is 11456969. The reversal of 11456960 is 6965411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11456969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17582 + ... + 18221.

Almost surely, 2^11456960 is an apocalyptic number.

11456960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11456960 is an abundant number, since it is smaller than the sum of its proper divisors (15825688).

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

11456960 is an equidigital number, since it uses as much as digits as its factorization.

11456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35820 (or 35810 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 11456960 is about 3384.8131410759. The cubic root of 11456960 is about 225.4359285230.

The spelling of 11456960 in words is "eleven million, four hundred fifty-six thousand, nine hundred sixty".