12788160 has 224 divisors, whose sum is σ = 50913792. Its totient is φ = 2641920.

The previous prime is 12788129. The next prime is 12788177. The reversal of 12788160 is 6188721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73834 + ... + 74006.

Almost surely, 2^12788160 is an apocalyptic number.

12788160 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 12788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25456896).

12788160 is an abundant number, since it is smaller than the sum of its proper divisors (38125632).

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

12788160 is a wasteful number, since it uses less digits than its factorization.

12788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 12788160 is about 3576.0536908721. The cubic root of 12788160 is about 233.8492710359.

The spelling of 12788160 in words is "twelve million, seven hundred eighty-eight thousand, one hundred sixty".