13219008 has 84 divisors (see below), whose sum is σ = 38511480. Its totient is φ = 3998720.

The previous prime is 13218977. The next prime is 13219061. The reversal of 13219008 is 80091231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22948 + ... + 23516.

It is an arithmetic number, because the mean of its divisors is an integer number (458470).

Almost surely, 2^13219008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19255740).

13219008 is an abundant number, since it is smaller than the sum of its proper divisors (25292472).

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

13219008 is a wasteful number, since it uses less digits than its factorization.

13219008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 13219008 is about 3635.7953737800. The cubic root of 13219008 is about 236.4465355979.

It can be divided in two parts, 132 and 19008, that multiplied together give a square (2509056 = 1584²).

The spelling of 13219008 in words is "thirteen million, two hundred nineteen thousand, eight".