11415040 has 160 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 3612672.

The previous prime is 11415023. The next prime is 11415043. The reversal of 11415040 is 4051411.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11415043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878074 + ... + 878086.

It is an arithmetic number, because the mean of its divisors is an integer number (214830).

Almost surely, 2^11415040 is an apocalyptic number.

11415040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

11415040 is an abundant number, since it is smaller than the sum of its proper divisors (22957760).

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

11415040 is an frugal number, since it uses more digits than its factorization.

11415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 11415040 is about 3378.6151008956. The cubic root of 11415040 is about 225.1606424810.

Adding to 11415040 its reverse (4051411), we get a palindrome (15466451).

The spelling of 11415040 in words is "eleven million, four hundred fifteen thousand, forty".