11465760 has 48 divisors (see below), whose sum is σ = 36118656. Its totient is φ = 3057408.

The previous prime is 11465749. The next prime is 11465761. The reversal of 11465760 is 6756411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11465761) 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 7 ways as a sum of consecutive naturals, for example, 11464 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (752472).

Almost surely, 2^11465760 is an apocalyptic number.

11465760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11465760 is an abundant number, since it is smaller than the sum of its proper divisors (24652896).

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

11465760 is a wasteful number, since it uses less digits than its factorization.

11465760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23905 (or 23897 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 11465760 is about 3386.1128156043. The cubic root of 11465760 is about 225.4936322671.

The spelling of 11465760 in words is "eleven million, four hundred sixty-five thousand, seven hundred sixty".