13961808 has 180 divisors, whose sum is σ = 48811360. Its totient is φ = 3779136.

The previous prime is 13961791. The next prime is 13961809. The reversal of 13961808 is 80816931.

13961808 is a `hidden beast` number, since 1 + 39 + 618 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13961809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734823 + ... + 734841.

Almost surely, 2^13961808 is an apocalyptic number.

13961808 is a gapful number since it is divisible by the number (18) 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 13961808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24405680).

13961808 is an abundant number, since it is smaller than the sum of its proper divisors (34849552).

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

13961808 is an frugal number, since it uses more digits than its factorization.

13961808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13961808 is about 3736.5502806733. The cubic root of 13961808 is about 240.7948645535.

The spelling of 13961808 in words is "thirteen million, nine hundred sixty-one thousand, eight hundred eight".