11304960 has 128 divisors (see below), whose sum is σ = 37748160. Its totient is φ = 2883584.

The previous prime is 11304959. The next prime is 11304961. The reversal of 11304960 is 6940311.

It is an interprime number because it is at equal distance from previous prime (11304959) and next prime (11304961).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11304960.

It is not an unprimeable number, because it can be changed into a prime (11304961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491509 + ... + 491531.

Almost surely, 2^11304960 is an apocalyptic number.

11304960 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 11304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874080).

11304960 is an abundant number, since it is smaller than the sum of its proper divisors (26443200).

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

11304960 is an frugal number, since it uses more digits than its factorization.

11304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 11304960 is about 3362.2849373603. The cubic root of 11304960 is about 224.4345306720.

The spelling of 11304960 in words is "eleven million, three hundred four thousand, nine hundred sixty".