13949712 has 120 divisors (see below), whose sum is σ = 46648800. Its totient is φ = 3979584.

The previous prime is 13949693. The next prime is 13949729. The reversal of 13949712 is 21794931.

13949712 is nontrivially palindromic in base 11.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20839 + ... + 21497.

It is an arithmetic number, because the mean of its divisors is an integer number (388740).

Almost surely, 2^13949712 is an apocalyptic number.

13949712 is a gapful number since it is divisible by the number (12) 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 13949712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23324400).

13949712 is an abundant number, since it is smaller than the sum of its proper divisors (32699088).

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

13949712 is a wasteful number, since it uses less digits than its factorization.

13949712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 13949712 is about 3734.9313246698. The cubic root of 13949712 is about 240.7253058396.

The spelling of 13949712 in words is "thirteen million, nine hundred forty-nine thousand, seven hundred twelve".