13760120 has 48 divisors (see below), whose sum is σ = 34042680. Its totient is φ = 5001920.

The previous prime is 13760113. The next prime is 13760147. The reversal of 13760120 is 2106731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13760092 and 13760101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3419 + ... + 6261.

Almost surely, 2^13760120 is an apocalyptic number.

13760120 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 13760120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021340).

13760120 is an abundant number, since it is smaller than the sum of its proper divisors (20282560).

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

13760120 is a wasteful number, since it uses less digits than its factorization.

13760120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 13760120 is about 3709.4635730790. The cubic root of 13760120 is about 239.6297531899.

Adding to 13760120 its reverse (2106731), we get a palindrome (15866851).

The spelling of 13760120 in words is "thirteen million, seven hundred sixty thousand, one hundred twenty".