13405656 has 128 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 3655680.

The previous prime is 13405633. The next prime is 13405657. The reversal of 13405656 is 65650431.

13405656 = 880² + 881² + ... + 896².

13405656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13405656³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130101 + ... + 130203.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 2^13405656 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 13405656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

13405656 is an abundant number, since it is smaller than the sum of its proper divisors (27029544).

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

13405656 is a wasteful number, since it uses less digits than its factorization.

13405656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 13405656 is about 3661.3735127681. The cubic root of 13405656 is about 237.5541874511.

It can be divided in two parts, 1340 and 5656, that added together give a palindrome (6996).

The spelling of 13405656 in words is "thirteen million, four hundred five thousand, six hundred fifty-six".