12734400 has 168 divisors, whose sum is σ = 47873920. Its totient is φ = 2903040.

The previous prime is 12734399. The next prime is 12734419. The reversal of 12734400 is 443721.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 33411 + ... + 33789.

Almost surely, 2^12734400 is an apocalyptic number.

12734400 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 12734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23936960).

12734400 is an abundant number, since it is smaller than the sum of its proper divisors (35139520).

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

12734400 is a wasteful number, since it uses less digits than its factorization.

12734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 12734400 is about 3568.5291087506. The cubic root of 12734400 is about 233.5211186722.

The spelling of 12734400 in words is "twelve million, seven hundred thirty-four thousand, four hundred".