13803864 has 64 divisors (see below), whose sum is σ = 38154240. Its totient is φ = 4139520.

The previous prime is 13803859. The next prime is 13803871. The reversal of 13803864 is 46830831.

It is a super-2 number, since 2×13803864² = 381093322660992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8649 + ... + 10119.

It is an arithmetic number, because the mean of its divisors is an integer number (596160).

Almost surely, 2^13803864 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 13803864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077120).

13803864 is an abundant number, since it is smaller than the sum of its proper divisors (24350376).

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

13803864 is a wasteful number, since it uses less digits than its factorization.

13803864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13803864 is about 3715.3551647184. The cubic root of 13803864 is about 239.8834155984.

The spelling of 13803864 in words is "thirteen million, eight hundred three thousand, eight hundred sixty-four".