13700120 has 64 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 4644864.

The previous prime is 13700119. The next prime is 13700149. The reversal of 13700120 is 2100731.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 13700095 and 13700104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31424 + ... + 31856.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 2^13700120 is an apocalyptic number.

13700120 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 13700120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

13700120 is an abundant number, since it is smaller than the sum of its proper divisors (21922600).

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

13700120 is a wasteful number, since it uses less digits than its factorization.

13700120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 13700120 is about 3701.3673149257. The cubic root of 13700120 is about 239.2809496977.

Adding to 13700120 its reverse (2100731), we get a palindrome (15800851).

The spelling of 13700120 in words is "thirteen million, seven hundred thousand, one hundred twenty".