13468880 has 40 divisors (see below), whose sum is σ = 32331264. Its totient is φ = 5212800.

The previous prime is 13468877. The next prime is 13468883. The reversal of 13468880 is 8886431.

It is an interprime number because it is at equal distance from previous prime (13468877) and next prime (13468883).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13468883) 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, 236 + ... + 5195.

Almost surely, 2^13468880 is an apocalyptic number.

13468880 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 13468880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16165632).

13468880 is an abundant number, since it is smaller than the sum of its proper divisors (18862384).

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

13468880 is a wasteful number, since it uses less digits than its factorization.

13468880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 13468880 is about 3669.9972752033. The cubic root of 13468880 is about 237.9270543579.

The spelling of 13468880 in words is "thirteen million, four hundred sixty-eight thousand, eight hundred eighty".