13959120 has 120 divisors (see below), whose sum is σ = 50380704. Its totient is φ = 3187968.

The previous prime is 13959103. The next prime is 13959151. The reversal of 13959120 is 2195931.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11167 + ... + 12353.

Almost surely, 2^13959120 is an apocalyptic number.

13959120 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 13959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190352).

13959120 is an abundant number, since it is smaller than the sum of its proper divisors (36421584).

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

13959120 is a wasteful number, since it uses less digits than its factorization.

13959120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 13959120 is about 3736.1905732979. The cubic root of 13959120 is about 240.7794105345.

The spelling of 13959120 in words is "thirteen million, nine hundred fifty-nine thousand, one hundred twenty".