13437864 has 144 divisors (see below), whose sum is σ = 42793920. Its totient is φ = 3775680.

The previous prime is 13437841. The next prime is 13437869. The reversal of 13437864 is 46873431.

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

Its product of digits (48384) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (13437869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 285889 + ... + 285935.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 2^13437864 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 13437864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

13437864 is an abundant number, since it is smaller than the sum of its proper divisors (29356056).

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

13437864 is a wasteful number, since it uses less digits than its factorization.

13437864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13437864 is about 3665.7692235055. The cubic root of 13437864 is about 237.7442819895.

The spelling of 13437864 in words is "thirteen million, four hundred thirty-seven thousand, eight hundred sixty-four".