13936120 has 64 divisors (see below), whose sum is σ = 36028800. Its totient is φ = 4798080.

The previous prime is 13936103. The next prime is 13936123. The reversal of 13936120 is 2163931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13936123) 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 15 ways as a sum of consecutive naturals, for example, 7527 + ... + 9193.

It is an arithmetic number, because the mean of its divisors is an integer number (562950).

Almost surely, 2^13936120 is an apocalyptic number.

13936120 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 13936120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014400).

13936120 is an abundant number, since it is smaller than the sum of its proper divisors (22092680).

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

13936120 is a wasteful number, since it uses less digits than its factorization.

13936120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 13936120 is about 3733.1113029215. Note that the first 3 decimals coincide. The cubic root of 13936120 is about 240.6470963011.

The spelling of 13936120 in words is "thirteen million, nine hundred thirty-six thousand, one hundred twenty".