13461120 has 256 divisors, whose sum is σ = 51408000. Its totient is φ = 3317760.

The previous prime is 13461083. The next prime is 13461131. The reversal of 13461120 is 2116431.

It is a happy number.

13461120 is a `hidden beast` number, since 1 + 34 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13461093 and 13461102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328300 + ... + 328340.

Almost surely, 2^13461120 is an apocalyptic number.

13461120 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 13461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

13461120 is an abundant number, since it is smaller than the sum of its proper divisors (37946880).

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

13461120 is a wasteful number, since it uses less digits than its factorization.

13461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13461120 is about 3668.9399013884. The cubic root of 13461120 is about 237.8813522496.

Adding to 13461120 its reverse (2116431), we get a palindrome (15577551).

The spelling of 13461120 in words is "thirteen million, four hundred sixty-one thousand, one hundred twenty".