13856766 has 64 divisors (see below), whose sum is σ = 35043840. Its totient is φ = 3548160.

The previous prime is 13856753. The next prime is 13856779. The reversal of 13856766 is 66765831.

It is an interprime number because it is at equal distance from previous prime (13856753) and next prime (13856779).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40950 + ... + 41286.

It is an arithmetic number, because the mean of its divisors is an integer number (547560).

Almost surely, 2^13856766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13856766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521920).

13856766 is an abundant number, since it is smaller than the sum of its proper divisors (21187074).

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

13856766 is a wasteful number, since it uses less digits than its factorization.

13856766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449.

The product of its digits is 181440, while the sum is 42.

The square root of 13856766 is about 3722.4677298803. The cubic root of 13856766 is about 240.1894684400.

13856766 divided by its sum of digits (42) gives a palindrome (329923).

The spelling of 13856766 in words is "thirteen million, eight hundred fifty-six thousand, seven hundred sixty-six".