261488 has 20 divisors (see below), whose sum is σ = 517080. Its totient is φ = 128064.

The previous prime is 261467. The next prime is 261509. The reversal of 261488 is 884162.

261488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261467) and next prime (261509).

It is a self number, because there is not a number n which added to its sum of digits gives 261488.

It is a congruent number.

It is an unprimeable number.

261488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 806 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (25854).

261488 is a Friedman number, since it can be written as 8^6-41*8*2, using all its digits and the basic arithmetic operations.

2²⁶¹⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

261488 is a deficient number, since it is larger than the sum of its proper divisors (255592).

261488 is a wasteful number, since it uses less digits than its factorization.

261488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 261488 is about 511.3589737161. The cubic root of 261488 is about 63.9465699900.

It can be divided in two parts, 2614 and 88, that multiplied together give a palindrome (230032).

The spelling of 261488 in words is "two hundred sixty-one thousand, four hundred eighty-eight".