13166400 has 168 divisors, whose sum is σ = 46740064. Its totient is φ = 3225600.

The previous prime is 13166399. The next prime is 13166429. The reversal of 13166400 is 466131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62295 + ... + 62505.

Almost surely, 2^13166400 is an apocalyptic number.

13166400 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 13166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23370032).

13166400 is an abundant number, since it is smaller than the sum of its proper divisors (33573664).

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

13166400 is a wasteful number, since it uses less digits than its factorization.

13166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13166400 is about 3628.5534307765. The cubic root of 13166400 is about 236.1324546129.

The spelling of 13166400 in words is "thirteen million, one hundred sixty-six thousand, four hundred".