13379520 has 224 divisors, whose sum is σ = 53254656. Its totient is φ = 2764800.

The previous prime is 13379473. The next prime is 13379543. The reversal of 13379520 is 2597331.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 73830 + ... + 74010.

It is an arithmetic number, because the mean of its divisors is an integer number (237744).

Almost surely, 2^13379520 is an apocalyptic number.

13379520 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 13379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627328).

13379520 is an abundant number, since it is smaller than the sum of its proper divisors (39875136).

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

13379520 is a wasteful number, since it uses less digits than its factorization.

13379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13379520 is about 3657.8026190597. The cubic root of 13379520 is about 237.3997064990.

The spelling of 13379520 in words is "thirteen million, three hundred seventy-nine thousand, five hundred twenty".