11496960 has 120 divisors (see below), whose sum is σ = 39897000. Its totient is φ = 3059712.

The previous prime is 11496943. The next prime is 11496967. The reversal of 11496960 is 6969411.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11496967) 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 11 ways as a sum of consecutive naturals, for example, 22791 + ... + 23289.

It is an arithmetic number, because the mean of its divisors is an integer number (332475).

Almost surely, 2^11496960 is an apocalyptic number.

11496960 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 11496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948500).

11496960 is an abundant number, since it is smaller than the sum of its proper divisors (28400040).

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

11496960 is an equidigital number, since it uses as much as digits as its factorization.

11496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 11496960 is about 3390.7167383903. The cubic root of 11496960 is about 225.6979806780.

The spelling of 11496960 in words is "eleven million, four hundred ninety-six thousand, nine hundred sixty".