13346400 has 144 divisors (see below), whose sum is σ = 44622144. Its totient is φ = 3463680.

The previous prime is 13346369. The next prime is 13346429. The reversal of 13346400 is 464331.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160759 + ... + 160841.

It is an arithmetic number, because the mean of its divisors is an integer number (309876).

Almost surely, 2^13346400 is an apocalyptic number.

13346400 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 13346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311072).

13346400 is an abundant number, since it is smaller than the sum of its proper divisors (31275744).

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

13346400 is a wasteful number, since it uses less digits than its factorization.

13346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 13346400 is about 3653.2725055763. The cubic root of 13346400 is about 237.2036562411.

The spelling of 13346400 in words is "thirteen million, three hundred forty-six thousand, four hundred".