13406800 has 90 divisors (see below), whose sum is σ = 35532014. Its totient is φ = 4857600.

The previous prime is 13406777. The next prime is 13406803. The reversal of 13406800 is 860431.

13406800 = T₂₉₉ + T₃₀₀ + ... + T₄₇₄.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 13337104 = 264^2 + 3652^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13406803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48262 + ... + 48538.

Almost surely, 2^13406800 is an apocalyptic number.

13406800 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 13406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766007).

13406800 is an abundant number, since it is smaller than the sum of its proper divisors (22125214).

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

13406800 is a wasteful number, since it uses less digits than its factorization.

13406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 13406800 is about 3661.5297349605. The cubic root of 13406800 is about 237.5609446552.

The spelling of 13406800 in words is "thirteen million, four hundred six thousand, eight hundred".