13415040 has 192 divisors, whose sum is σ = 49406760. Its totient is φ = 3342336.

The previous prime is 13414997. The next prime is 13415047. The reversal of 13415040 is 4051431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 968256 = 3528^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13415047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97852 + ... + 97988.

Almost surely, 2^13415040 is an apocalyptic number.

13415040 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 13415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24703380).

13415040 is an abundant number, since it is smaller than the sum of its proper divisors (35991720).

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

13415040 is a wasteful number, since it uses less digits than its factorization.

13415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13415040 is about 3662.6547748867. The cubic root of 13415040 is about 237.6096040739.

Adding to 13415040 its reverse (4051431), we get a palindrome (17466471).

The spelling of 13415040 in words is "thirteen million, four hundred fifteen thousand, forty".