260829261 has 64 divisors (see below), whose sum is σ = 486604800. Its totient is φ = 134136000.

The previous prime is 260829259. The next prime is 260829301. The reversal of 260829261 is 162928062.

It is a happy number.

260829261 is a `hidden beast` number, since 2 + 608 + 29 + 26 + 1 = 666.

It is not a de Polignac number, because 260829261 - 2¹ = 260829259 is a prime.

It is a super-2 number, since 2×260829261² = 136063806787612242, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260829211) 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, 226036 + ... + 227186.

It is an arithmetic number, because the mean of its divisors is an integer number (7603200).

Almost surely, 2^260829261 is an apocalyptic number.

260829261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

260829261 is a deficient number, since it is larger than the sum of its proper divisors (225775539).

260829261 is a wasteful number, since it uses less digits than its factorization.

260829261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 260829261 is about 16150.2093175290. The cubic root of 260829261 is about 638.9282689655.

The spelling of 260829261 in words is "two hundred sixty million, eight hundred twenty-nine thousand, two hundred sixty-one".