11795040 has 72 divisors (see below), whose sum is σ = 40255488. Its totient is φ = 3144960.

The previous prime is 11795039. The next prime is 11795089. The reversal of 11795040 is 4059711.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 11794995 and 11795013.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2656 + ... + 5535.

It is an arithmetic number, because the mean of its divisors is an integer number (559104).

Almost surely, 2^11795040 is an apocalyptic number.

11795040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11795040 is an abundant number, since it is smaller than the sum of its proper divisors (28460448).

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

11795040 is a wasteful number, since it uses less digits than its factorization.

11795040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11795040 is about 3434.3907756690. The cubic root of 11795040 is about 227.6319083675.

The spelling of 11795040 in words is "eleven million, seven hundred ninety-five thousand, forty".