12904000 has 56 divisors (see below), whose sum is σ = 31976568. Its totient is φ = 5158400.

The previous prime is 12903977. The next prime is 12904027. The reversal of 12904000 is 40921.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 12616704 = 536^2 + 3552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7194 + ... + 8806.

Almost surely, 2^12904000 is an apocalyptic number.

12904000 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 12904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988284).

12904000 is an abundant number, since it is smaller than the sum of its proper divisors (19072568).

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

12904000 is an equidigital number, since it uses as much as digits as its factorization.

12904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 12904000 is about 3592.2138021003. The cubic root of 12904000 is about 234.5532481072.

Adding to 12904000 its reverse (40921), we get a palindrome (12944921).

The spelling of 12904000 in words is "twelve million, nine hundred four thousand".