12740400 has 90 divisors (see below), whose sum is σ = 44225220. Its totient is φ = 3396480.

The previous prime is 12740369. The next prime is 12740423. The reversal of 12740400 is 404721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1831 + ... + 5369.

Almost surely, 2^12740400 is an apocalyptic number.

12740400 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 12740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22112610).

12740400 is an abundant number, since it is smaller than the sum of its proper divisors (31484820).

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

12740400 is a wasteful number, since it uses less digits than its factorization.

12740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12740400 is about 3569.3696922566. The cubic root of 12740400 is about 233.5577885510.

The spelling of 12740400 in words is "twelve million, seven hundred forty thousand, four hundred".