13040416 has 24 divisors (see below), whose sum is σ = 26112240. Its totient is φ = 6408768.

The previous prime is 13040381. The next prime is 13040449. The reversal of 13040416 is 61404031.

It is a happy number.

13040416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13040393 and 13040402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1566 + ... + 5341.

It is an arithmetic number, because the mean of its divisors is an integer number (1088010).

Almost surely, 2^13040416 is an apocalyptic number.

13040416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13040416 is an abundant number, since it is smaller than the sum of its proper divisors (13071824).

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

13040416 is an equidigital number, since it uses as much as digits as its factorization.

13040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13040416 is about 3611.1516168668. The cubic root of 13040416 is about 235.3768873120.

Adding to 13040416 its reverse (61404031), we get a palindrome (74444447).

It can be divided in two parts, 13040 and 416, that added together give a square (13456 = 116²).

The spelling of 13040416 in words is "thirteen million, forty thousand, four hundred sixteen".