11496480 has 96 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 2989056.

The previous prime is 11496473. The next prime is 11496493. The reversal of 11496480 is 8469411.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20362 + ... + 20918.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 2^11496480 is an apocalyptic number.

11496480 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 11496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

11496480 is an abundant number, since it is smaller than the sum of its proper divisors (25626144).

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

11496480 is a wasteful number, since it uses less digits than its factorization.

11496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 11496480 is about 3390.6459561564. The cubic root of 11496480 is about 225.6948396581.

The spelling of 11496480 in words is "eleven million, four hundred ninety-six thousand, four hundred eighty".