13538868 has 96 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 3442176.

The previous prime is 13538843. The next prime is 13538879. The reversal of 13538868 is 86883531.

13538868 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 26883 + ... + 27381.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 2^13538868 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 13538868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

13538868 is an abundant number, since it is smaller than the sum of its proper divisors (26781132).

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

13538868 is a wasteful number, since it uses less digits than its factorization.

13538868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 13538868 is about 3679.5200774014. The cubic root of 13538868 is about 238.3384540388.

It can be divided in two parts, 135 and 38868, that multiplied together give a triangular number (5247180 = T₃₂₃₉).

The spelling of 13538868 in words is "thirteen million, five hundred thirty-eight thousand, eight hundred sixty-eight".