13851864 has 64 divisors (see below), whose sum is σ = 41445600. Its totient is φ = 4261248.

The previous prime is 13851863. The next prime is 13851883. The reversal of 13851864 is 46815831.

13851864 is a `hidden beast` number, since 138 + 518 + 6 + 4 = 666.

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 (13851863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342 + ... + 5274.

Almost surely, 2^13851864 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 13851864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20722800).

13851864 is an abundant number, since it is smaller than the sum of its proper divisors (27593736).

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

13851864 is a wasteful number, since it uses less digits than its factorization.

13851864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4951 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 13851864 is about 3721.8092374543. The cubic root of 13851864 is about 240.1611417813.

It can be divided in two parts, 1385 and 1864, that added together give a square (3249 = 57²).

The spelling of 13851864 in words is "thirteen million, eight hundred fifty-one thousand, eight hundred sixty-four".