13416288 has 24 divisors (see below), whose sum is σ = 35218008. Its totient is φ = 4472064.

The previous prime is 13416283. The next prime is 13416289. The reversal of 13416288 is 88261431.

13416288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69781 + ... + 69972.

It is an arithmetic number, because the mean of its divisors is an integer number (1467417).

Almost surely, 2^13416288 is an apocalyptic number.

It is an amenable number.

13416288 is an abundant number, since it is smaller than the sum of its proper divisors (21801720).

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

13416288 is a wasteful number, since it uses less digits than its factorization.

13416288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139766 (or 139758 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 13416288 is about 3662.8251391515. The cubic root of 13416288 is about 237.6169721123.

The spelling of 13416288 in words is "thirteen million, four hundred sixteen thousand, two hundred eighty-eight".