12765060 has 192 divisors, whose sum is σ = 49674240. Its totient is φ = 2643840.

The previous prime is 12765031. The next prime is 12765061. The reversal of 12765060 is 6056721.

12765060 is a `hidden beast` number, since 1 + 2 + 7 + 650 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (12765061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41427 + ... + 41733.

It is an arithmetic number, because the mean of its divisors is an integer number (258720).

Almost surely, 2^12765060 is an apocalyptic number.

12765060 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 12765060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

12765060 is an abundant number, since it is smaller than the sum of its proper divisors (36909180).

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

12765060 is a wasteful number, since it uses less digits than its factorization.

12765060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 12765060 is about 3572.8224137228. The cubic root of 12765060 is about 233.7083809723.

It can be divided in two parts, 1276 and 5060, that added together give a palindrome (6336).

The spelling of 12765060 in words is "twelve million, seven hundred sixty-five thousand, sixty".