12893400 has 288 divisors, whose sum is σ = 50778000. Its totient is φ = 2903040.

The previous prime is 12893389. The next prime is 12893401. The reversal of 12893400 is 439821.

12893400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12893401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 444586 + ... + 444614.

Almost surely, 2^12893400 is an apocalyptic number.

12893400 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 12893400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25389000).

12893400 is an abundant number, since it is smaller than the sum of its proper divisors (37884600).

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

12893400 is a wasteful number, since it uses less digits than its factorization.

12893400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12893400 is about 3590.7380856866. The cubic root of 12893400 is about 234.4890058690.

It can be divided in two parts, 128 and 93400, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 12893400 in words is "twelve million, eight hundred ninety-three thousand, four hundred".