13434880 has 68 divisors (see below), whose sum is σ = 33029892. Its totient is φ = 5242880.

The previous prime is 13434853. The next prime is 13434887. The reversal of 13434880 is 8843431.

It can be written as a sum of positive squares in 2 ways, for example, as 2359296 + 11075584 = 1536^2 + 3328^2 .

It is a super-2 number, since 2×13434880² = 360992001228800, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327660 + ... + 327700.

Almost surely, 2^13434880 is an apocalyptic number.

13434880 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 13434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514946).

13434880 is an abundant number, since it is smaller than the sum of its proper divisors (19595012).

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

13434880 is an frugal number, since it uses more digits than its factorization.

13434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 13434880 is about 3665.3621921987. The cubic root of 13434880 is about 237.7266829263.

The spelling of 13434880 in words is "thirteen million, four hundred thirty-four thousand, eight hundred eighty".