13082868 has 72 divisors (see below), whose sum is σ = 35992320. Its totient is φ = 3991680.

The previous prime is 13082863. The next prime is 13082903. The reversal of 13082868 is 86828031.

13082868 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-2 number, since 2×13082868² = 342322870210848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13082863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20896 + ... + 21512.

Almost surely, 2^13082868 is an apocalyptic number.

13082868 is a gapful number since it is divisible by the number (18) 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 13082868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996160).

13082868 is an abundant number, since it is smaller than the sum of its proper divisors (22909452).

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

13082868 is a wasteful number, since it uses less digits than its factorization.

13082868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 13082868 is about 3617.0247441786. The cubic root of 13082868 is about 235.6320273382.

The spelling of 13082868 in words is "thirteen million, eighty-two thousand, eight hundred sixty-eight".