13420820 has 48 divisors (see below), whose sum is σ = 34110720. Its totient is φ = 4329984.

The previous prime is 13420807. The next prime is 13420873. The reversal of 13420820 is 2802431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13420792 and 13420801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440 + ... + 5199.

It is an arithmetic number, because the mean of its divisors is an integer number (710640).

Almost surely, 2^13420820 is an apocalyptic number.

13420820 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 13420820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055360).

13420820 is an abundant number, since it is smaller than the sum of its proper divisors (20689900).

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

13420820 is a wasteful number, since it uses less digits than its factorization.

13420820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 13420820 is about 3663.4437350668. The cubic root of 13420820 is about 237.6437246409.

The spelling of 13420820 in words is "thirteen million, four hundred twenty thousand, eight hundred twenty".