6880129 has 9 divisors (see below), whose sum is σ = 7161219. Its totient is φ = 6609960.

The previous prime is 6880127. The next prime is 6880141. The reversal of 6880129 is 9210886.

The square root of 6880129 is 2623.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 223729 + 6656400 = 473^2 + 2580^2 .

It is not a de Polignac number, because 6880129 - 2¹ = 6880127 is a prime.

It is a Duffinian number.

6880129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 6880094 and 6880103.

It is not an unprimeable number, because it can be changed into a prime (6880123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112759 + ... + 112819.

It is an arithmetic number, because the mean of its divisors is an integer number (795691).

Almost surely, 2^6880129 is an apocalyptic number.

6880129 is the 2623-rd square number.

6880129 is the 1312-nd centered octagonal number.

It is an amenable number.

6880129 is a deficient number, since it is larger than the sum of its proper divisors (281090).

6880129 is an frugal number, since it uses more digits than its factorization.

6880129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The cubic root of 6880129 is about 190.1948969644.

The spelling of 6880129 in words is "six million, eight hundred eighty thousand, one hundred twenty-nine".