13405120 has 56 divisors (see below), whose sum is σ = 32241744. Its totient is φ = 5308416.

The previous prime is 13405111. The next prime is 13405123. The reversal of 13405120 is 2150431.

13405120 = 88² + 89² + ... + 344².

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13405094 and 13405103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52032 + ... + 52288.

Almost surely, 2^13405120 is an apocalyptic number.

13405120 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 13405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120872).

13405120 is an abundant number, since it is smaller than the sum of its proper divisors (18836624).

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

13405120 is a wasteful number, since it uses less digits than its factorization.

13405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 13405120 is about 3661.3003154617. The cubic root of 13405120 is about 237.5510213561.

Adding to 13405120 its reverse (2150431), we get a palindrome (15555551).

The spelling of 13405120 in words is "thirteen million, four hundred five thousand, one hundred twenty".