13219680 has 48 divisors (see below), whose sum is σ = 41643504. Its totient is φ = 3525120.

The previous prime is 13219667. The next prime is 13219691. The reversal of 13219680 is 8691231.

13219680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13291 + ... + 14250.

It is an arithmetic number, because the mean of its divisors is an integer number (867573).

Almost surely, 2^13219680 is an apocalyptic number.

13219680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13219680 is an abundant number, since it is smaller than the sum of its proper divisors (28423824).

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

13219680 is a wasteful number, since it uses less digits than its factorization.

13219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27559 (or 27551 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13219680 is about 3635.8877870473. The cubic root of 13219680 is about 236.4505421865.

The spelling of 13219680 in words is "thirteen million, two hundred nineteen thousand, six hundred eighty".