12868720 has 40 divisors (see below), whose sum is σ = 30890880. Its totient is φ = 4980480.

The previous prime is 12868697. The next prime is 12868727. The reversal of 12868720 is 2786821.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×12868720³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12868727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 5074.

It is an arithmetic number, because the mean of its divisors is an integer number (772272).

Almost surely, 2^12868720 is an apocalyptic number.

12868720 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 12868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15445440).

12868720 is an abundant number, since it is smaller than the sum of its proper divisors (18022160).

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

12868720 is a wasteful number, since it uses less digits than its factorization.

12868720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 12868720 is about 3587.2998201990. The cubic root of 12868720 is about 234.3392939977.

The spelling of 12868720 in words is "twelve million, eight hundred sixty-eight thousand, seven hundred twenty".