12603400 has 96 divisors (see below), whose sum is σ = 31638600. Its totient is φ = 4659200.

The previous prime is 12603373. The next prime is 12603407. The reversal of 12603400 is 430621.

It can be written as a sum of positive squares in 12 ways, for example, as 114244 + 12489156 = 338^2 + 3534^2 .

It is not an unprimeable number, because it can be changed into a prime (12603407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237774 + ... + 237826.

Almost surely, 2^12603400 is an apocalyptic number.

12603400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12603400 is the 2050-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12603400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819300).

12603400 is an abundant number, since it is smaller than the sum of its proper divisors (19035200).

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

12603400 is a wasteful number, since it uses less digits than its factorization.

12603400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 12603400 is about 3550.1267583003. The cubic root of 12603400 is about 232.7176056517.

The spelling of 12603400 in words is "twelve million, six hundred three thousand, four hundred".