11729040 has 40 divisors (see below), whose sum is σ = 36360768. Its totient is φ = 3127680.

The previous prime is 11729027. The next prime is 11729041. The reversal of 11729040 is 4092711.

It is a tau number, because it is divible by the number of its divisors (40).

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 11729040.

It is not an unprimeable number, because it can be changed into a prime (11729041) 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, 24196 + ... + 24675.

Almost surely, 2^11729040 is an apocalyptic number.

11729040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11729040 is an abundant number, since it is smaller than the sum of its proper divisors (24631728).

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

11729040 is a wasteful number, since it uses less digits than its factorization.

11729040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48887 (or 48881 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 11729040 is about 3424.7686053221. The cubic root of 11729040 is about 227.2065370400.

The spelling of 11729040 in words is "eleven million, seven hundred twenty-nine thousand, forty".