13406820 has 96 divisors (see below), whose sum is σ = 43400448. Its totient is φ = 3028992.

The previous prime is 13406819. The next prime is 13406843. The reversal of 13406820 is 2860431.

13406820 = T₂₁₆ + T₂₁₇ + ... + T₄₄₈.

It is a happy 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, 57424 + ... + 57656.

It is an arithmetic number, because the mean of its divisors is an integer number (452088).

Almost surely, 2^13406820 is an apocalyptic number.

13406820 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 13406820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700224).

13406820 is an abundant number, since it is smaller than the sum of its proper divisors (29993628).

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

13406820 is a wasteful number, since it uses less digits than its factorization.

13406820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13406820 is about 3661.5324660584. The cubic root of 13406820 is about 237.5610627847.

The spelling of 13406820 in words is "thirteen million, four hundred six thousand, eight hundred twenty".