13949680 has 40 divisors (see below), whose sum is σ = 32712192. Its totient is φ = 5531904.

The previous prime is 13949671. The next prime is 13949687. The reversal of 13949680 is 8694931.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13949687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9474 + ... + 10846.

Almost surely, 2^13949680 is an apocalyptic number.

13949680 is a gapful number since it is divisible by the number (10) 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 13949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356096).

13949680 is an abundant number, since it is smaller than the sum of its proper divisors (18762512).

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

13949680 is a wasteful number, since it uses less digits than its factorization.

13949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 13949680 is about 3734.9270407867. The cubic root of 13949680 is about 240.7251217685.

The spelling of 13949680 in words is "thirteen million, nine hundred forty-nine thousand, six hundred eighty".