13736968 has 64 divisors (see below), whose sum is σ = 31288320. Its totient is φ = 5529600.

The previous prime is 13736959. The next prime is 13737011. The reversal of 13736968 is 86963731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71080 + ... + 71272.

It is an arithmetic number, because the mean of its divisors is an integer number (488880).

Almost surely, 2^13736968 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 13736968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644160).

13736968 is an abundant number, since it is smaller than the sum of its proper divisors (17551352).

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

13736968 is a wasteful number, since it uses less digits than its factorization.

13736968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 13736968 is about 3706.3415924601. The cubic root of 13736968 is about 239.4952819186.

The spelling of 13736968 in words is "thirteen million, seven hundred thirty-six thousand, nine hundred sixty-eight".