13464120 has 128 divisors (see below), whose sum is σ = 43156800. Its totient is φ = 3354624.

The previous prime is 13464109. The next prime is 13464127. The reversal of 13464120 is 2146431.

13464120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13464127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184404 + ... + 184476.

Almost surely, 2^13464120 is an apocalyptic number.

13464120 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 13464120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21578400).

13464120 is an abundant number, since it is smaller than the sum of its proper divisors (29692680).

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

13464120 is a wasteful number, since it uses less digits than its factorization.

13464120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13464120 is about 3669.3487160530. The cubic root of 13464120 is about 237.8990226725.

The spelling of 13464120 in words is "thirteen million, four hundred sixty-four thousand, one hundred twenty".