11815040 has 32 divisors (see below), whose sum is σ = 28246860. Its totient is φ = 4725760.

The previous prime is 11815033. The next prime is 11815043. The reversal of 11815040 is 4051811.

It can be written as a sum of positive squares in 2 ways, for example, as 10394176 + 1420864 = 3224^2 + 1192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11815043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8591 + ... + 9870.

Almost surely, 2^11815040 is an apocalyptic number.

11815040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11815040 is an abundant number, since it is smaller than the sum of its proper divisors (16431820).

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

11815040 is an equidigital number, since it uses as much as digits as its factorization.

11815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18480 (or 18468 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 11815040 is about 3437.3012669826. The cubic root of 11815040 is about 227.7604953949.

Adding to 11815040 its reverse (4051811), we get a palindrome (15866851).

The spelling of 11815040 in words is "eleven million, eight hundred fifteen thousand, forty".