13402656 has 72 divisors (see below), whose sum is σ = 38476620. Its totient is φ = 4425216.

The previous prime is 13402651. The next prime is 13402673. The reversal of 13402656 is 65620431.

13402656 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 656 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13395600 + 7056 = 3660^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13402651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49690 + ... + 49958.

Almost surely, 2^13402656 is an apocalyptic number.

13402656 is a gapful number since it is divisible by the number (16) 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 13402656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19238310).

13402656 is an abundant number, since it is smaller than the sum of its proper divisors (25073964).

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

13402656 is a wasteful number, since it uses less digits than its factorization.

13402656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13402656 is about 3660.9638075239. The cubic root of 13402656 is about 237.5364656843.

The spelling of 13402656 in words is "thirteen million, four hundred two thousand, six hundred fifty-six".