13670820 has 72 divisors (see below), whose sum is σ = 42280056. Its totient is φ = 3574272.

The previous prime is 13670801. The next prime is 13670821. The reversal of 13670820 is 2807631.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 9108324 = 2136^2 + 3018^2 .

It is not an unprimeable number, because it can be changed into a prime (13670821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8824 + ... + 10256.

It is an arithmetic number, because the mean of its divisors is an integer number (587223).

Almost surely, 2^13670820 is an apocalyptic number.

13670820 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 13670820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21140028).

13670820 is an abundant number, since it is smaller than the sum of its proper divisors (28609236).

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

13670820 is a wasteful number, since it uses less digits than its factorization.

13670820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13670820 is about 3697.4071996468. The cubic root of 13670820 is about 239.1102471591.

The spelling of 13670820 in words is "thirteen million, six hundred seventy thousand, eight hundred twenty".