12877920 has 192 divisors, whose sum is σ = 49351680. Its totient is φ = 3110400.

The previous prime is 12877897. The next prime is 12877951. The reversal of 12877920 is 2977821.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 47385 + ... + 47655.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^12877920 is an apocalyptic number.

12877920 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 12877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

12877920 is an abundant number, since it is smaller than the sum of its proper divisors (36473760).

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

12877920 is a wasteful number, since it uses less digits than its factorization.

12877920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 12877920 is about 3588.5818926144. The cubic root of 12877920 is about 234.3951246719.

Subtracting from 12877920 its reverse (2977821), we obtain a palindrome (9900099).

The spelling of 12877920 in words is "twelve million, eight hundred seventy-seven thousand, nine hundred twenty".