11459040 has 48 divisors (see below), whose sum is σ = 36097488. Its totient is φ = 3055616.

The previous prime is 11459009. The next prime is 11459047. The reversal of 11459040 is 4095411.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11459040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11459047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11457 + ... + 12416.

It is an arithmetic number, because the mean of its divisors is an integer number (752031).

Almost surely, 2^11459040 is an apocalyptic number.

11459040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11459040 is an abundant number, since it is smaller than the sum of its proper divisors (24638448).

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

11459040 is a wasteful number, since it uses less digits than its factorization.

11459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23891 (or 23883 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11459040 is about 3385.1203819067. The cubic root of 11459040 is about 225.4495702557.

The spelling of 11459040 in words is "eleven million, four hundred fifty-nine thousand, forty".