12789504 has 216 divisors, whose sum is σ = 46128992. Its totient is φ = 3317760.

The previous prime is 12789503. The next prime is 12789571. The reversal of 12789504 is 40598721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12789503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209634 + ... + 209694.

Almost surely, 2^12789504 is an apocalyptic number.

12789504 is a gapful number since it is divisible by the number (14) 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 12789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064496).

12789504 is an abundant number, since it is smaller than the sum of its proper divisors (33339488).

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

12789504 is a wasteful number, since it uses less digits than its factorization.

12789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12789504 is about 3576.2416025766. The cubic root of 12789504 is about 233.8574630513.

The spelling of 12789504 in words is "twelve million, seven hundred eighty-nine thousand, five hundred four".