13214880 has 384 divisors, whose sum is σ = 58060800. Its totient is φ = 2737152.

The previous prime is 13214863. The next prime is 13214881. The reversal of 13214880 is 8841231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13214881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574549 + ... + 574571.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^13214880 is an apocalyptic number.

13214880 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 13214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

13214880 is an abundant number, since it is smaller than the sum of its proper divisors (44845920).

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

13214880 is a wasteful number, since it uses less digits than its factorization.

13214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13214880 is about 3635.2276407400. The cubic root of 13214880 is about 236.4219207172.

The spelling of 13214880 in words is "thirteen million, two hundred fourteen thousand, eight hundred eighty".