12879540 has 192 divisors, whose sum is σ = 44997120. Its totient is φ = 3041280.

The previous prime is 12879521. The next prime is 12879547. The reversal of 12879540 is 4597821.

It is a super-2 number, since 2×12879540² = 331765101223200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12879495 and 12879504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12879547) 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, 211110 + ... + 211170.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^12879540 is an apocalyptic number.

12879540 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 12879540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

12879540 is an abundant number, since it is smaller than the sum of its proper divisors (32117580).

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

12879540 is a wasteful number, since it uses less digits than its factorization.

12879540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 12879540 is about 3588.8076014186. The cubic root of 12879540 is about 234.4049529719.

The spelling of 12879540 in words is "twelve million, eight hundred seventy-nine thousand, five hundred forty".