13418976 has 48 divisors (see below), whose sum is σ = 35565264. Its totient is φ = 4429824.

The previous prime is 13418971. The next prime is 13418981. The reversal of 13418976 is 67981431.

It is an interprime number because it is at equal distance from previous prime (13418971) and next prime (13418981).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13418971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10230 + ... + 11466.

It is an arithmetic number, because the mean of its divisors is an integer number (740943).

Almost surely, 2^13418976 is an apocalyptic number.

13418976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13418976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17782632).

13418976 is an abundant number, since it is smaller than the sum of its proper divisors (22146288).

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

13418976 is a wasteful number, since it uses less digits than its factorization.

13418976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 13418976 is about 3663.1920506575. The cubic root of 13418976 is about 237.6328401818.

It can be divided in two parts, 134 and 18976, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 13418976 in words is "thirteen million, four hundred eighteen thousand, nine hundred seventy-six".