13676859 has 48 divisors (see below), whose sum is σ = 23961600. Its totient is φ = 7352640.

The previous prime is 13676837. The next prime is 13676879. The reversal of 13676859 is 95867631.

13676859 = T₂₈₂ + T₂₈₃ + ... + T₄₇₀.

It is a happy number.

13676859 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13676859 - 2¹⁵ = 13644091 is a prime.

It is a super-3 number, since 3×13676859³ (a number of 22 digits) contains 333 as substring.

Its product of digits (272160) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (13676879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91717 + ... + 91865.

It is an arithmetic number, because the mean of its divisors is an integer number (499200).

Almost surely, 2^13676859 is an apocalyptic number.

13676859 is a deficient number, since it is larger than the sum of its proper divisors (10284741).

13676859 is a wasteful number, since it uses less digits than its factorization.

13676859 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 237 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 13676859 is about 3698.2237628353. The cubic root of 13676859 is about 239.1454504659.

It can be divided in two parts, 13676 and 859, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 13676859 in words is "thirteen million, six hundred seventy-six thousand, eight hundred fifty-nine".