12973920 has 96 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 3417600.

The previous prime is 12973913. The next prime is 12973921. The reversal of 12973920 is 2937921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72391 + ... + 72569.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^12973920 is an apocalyptic number.

12973920 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 12973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

12973920 is an abundant number, since it is smaller than the sum of its proper divisors (28394400).

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

12973920 is a wasteful number, since it uses less digits than its factorization.

12973920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 12973920 is about 3601.9328144761. The cubic root of 12973920 is about 234.9761255360.

The spelling of 12973920 in words is "twelve million, nine hundred seventy-three thousand, nine hundred twenty".