13418964 has 72 divisors (see below), whose sum is σ = 37287432. Its totient is φ = 4043520.

The previous prime is 13418957. The next prime is 13418971. The reversal of 13418964 is 46981431.

It is an interprime number because it is at equal distance from previous prime (13418957) and next prime (13418971).

It can be written as a sum of positive squares in 4 ways, for example, as 887364 + 12531600 = 942^2 + 3540^2 .

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24534 + ... + 25074.

It is an arithmetic number, because the mean of its divisors is an integer number (517881).

Almost surely, 2^13418964 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 13418964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643716).

13418964 is an abundant number, since it is smaller than the sum of its proper divisors (23868468).

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

13418964 is a wasteful number, since it uses less digits than its factorization.

13418964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 612 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13418964 is about 3663.1904127413. The cubic root of 13418964 is about 237.6327693469.

The spelling of 13418964 in words is "thirteen million, four hundred eighteen thousand, nine hundred sixty-four".