261024 has 24 divisors (see below), whose sum is σ = 685440. Its totient is φ = 86976.

The previous prime is 261017. The next prime is 261031. The reversal of 261024 is 420162.

It is an interprime number because it is at equal distance from previous prime (261017) and next prime (261031).

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 260994 and 261012.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 261024.

It is an unprimeable number.

261024 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 3 ways as a sum of consecutive naturals, for example, 1264 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2²⁶¹⁰²⁴ is an apocalyptic number.

261024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261024 is an abundant number, since it is smaller than the sum of its proper divisors (424416).

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

261024 is a wasteful number, since it uses less digits than its factorization.

261024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 261024 is about 510.9050792466. The cubic root of 261024 is about 63.9087240520.

Adding to 261024 its reverse (420162), we get a palindrome (681186).

It can be divided in two parts, 26102 and 4, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 261024 in words is "two hundred sixty-one thousand, twenty-four".