13966416 has 30 divisors (see below), whose sum is σ = 39086970. Its totient is φ = 4655424.

The previous prime is 13966409. The next prime is 13966423. The reversal of 13966416 is 61466931.

13966416 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 641 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13966409) and next prime (13966423).

It can be written as a sum of positive squares in only one way, i.e., 11532816 + 2433600 = 3396^2 + 1560^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48351 + ... + 48638.

It is an arithmetic number, because the mean of its divisors is an integer number (1302899).

Almost surely, 2^13966416 is an apocalyptic number.

13966416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13966416 is an abundant number, since it is smaller than the sum of its proper divisors (25120554).

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

13966416 is a wasteful number, since it uses less digits than its factorization.

13966416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97003 (or 96994 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13966416 is about 3737.1668413385. The cubic root of 13966416 is about 240.8213525434.

The spelling of 13966416 in words is "thirteen million, nine hundred sixty-six thousand, four hundred sixteen".