13400784 has 60 divisors (see below), whose sum is σ = 38808900. Its totient is φ = 4311552.

The previous prime is 13400767. The next prime is 13400801. The reversal of 13400784 is 48700431.

13400784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13400767) and next prime (13400801).

It can be written as a sum of positive squares in 2 ways, for example, as 7290000 + 6110784 = 2700^2 + 2472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2572 + ... + 5780.

It is an arithmetic number, because the mean of its divisors is an integer number (646815).

Almost surely, 2^13400784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13400784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19404450).

13400784 is an abundant number, since it is smaller than the sum of its proper divisors (25408116).

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

13400784 is a wasteful number, since it uses less digits than its factorization.

13400784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13400784 is about 3660.7081282178. The cubic root of 13400784 is about 237.5254059618.

The spelling of 13400784 in words is "thirteen million, four hundred thousand, seven hundred eighty-four".