260772 has 24 divisors (see below), whose sum is σ = 628992. Its totient is φ = 84000.

The previous prime is 260761. The next prime is 260773. The reversal of 260772 is 277062.

It is a nialpdrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (260773) by changing a digit.

260772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2²⁶⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

260772 is an abundant number, since it is smaller than the sum of its proper divisors (368220).

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

260772 is a wasteful number, since it uses less digits than its factorization.

260772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 260772 is about 510.6583985406. The cubic root of 260772 is about 63.8881509962. Note that the first 3 decimals are identical.

Subtracting 260772 from its reverse (277062), we obtain a triangular number (16290 = T₁₈₀).

The spelling of 260772 in words is "two hundred sixty thousand, seven hundred seventy-two".