13094400 has 240 divisors, whose sum is σ = 48711168. Its totient is φ = 3072000.

The previous prime is 13094381. The next prime is 13094441. The reversal of 13094400 is 449031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13094400² = 342926622720000, which contains 22 as substring.

It is a zygodrome in base 2.

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, 422385 + ... + 422415.

Almost surely, 2^13094400 is an apocalyptic number.

13094400 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 13094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355584).

13094400 is an abundant number, since it is smaller than the sum of its proper divisors (35616768).

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

13094400 is a wasteful number, since it uses less digits than its factorization.

13094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

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

The square root of 13094400 is about 3618.6185209276. The cubic root of 13094400 is about 235.7012402593.

The spelling of 13094400 in words is "thirteen million, ninety-four thousand, four hundred".