13982670 has 192 divisors, whose sum is σ = 44815680. Its totient is φ = 2985984.

The previous prime is 13982659. The next prime is 13982677. The reversal of 13982670 is 7628931.

13982670 = 25² + 26² + ... + 347².

13982670 is a `hidden beast` number, since 1 + 398 + 267 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13982677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377892 + ... + 377928.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 2^13982670 is an apocalyptic number.

13982670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13982670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

13982670 is an abundant number, since it is smaller than the sum of its proper divisors (30833010).

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

13982670 is a wasteful number, since it uses less digits than its factorization.

13982670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13982670 is about 3739.3408510057. The cubic root of 13982670 is about 240.9147382950.

The spelling of 13982670 in words is "thirteen million, nine hundred eighty-two thousand, six hundred seventy".