13219920 has 240 divisors, whose sum is σ = 52770432. Its totient is φ = 2903040.

The previous prime is 13219909. The next prime is 13219933. The reversal of 13219920 is 2991231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216690 + ... + 216750.

Almost surely, 2^13219920 is an apocalyptic number.

13219920 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 13219920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26385216).

13219920 is an abundant number, since it is smaller than the sum of its proper divisors (39550512).

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

13219920 is a wasteful number, since it uses less digits than its factorization.

13219920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13219920 is about 3635.9207912164. The cubic root of 13219920 is about 236.4519730781.

The spelling of 13219920 in words is "thirteen million, two hundred nineteen thousand, nine hundred twenty".