261976 has 32 divisors (see below), whose sum is σ = 579600. Its totient is φ = 109440.

The previous prime is 261973. The next prime is 261977. The reversal of 261976 is 679162.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030 + ... + 1258.

2²⁶¹⁹⁷⁶ is an apocalyptic number.

261976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289800).

261976 is an abundant number, since it is smaller than the sum of its proper divisors (317624).

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

261976 is a wasteful number, since it uses less digits than its factorization.

261976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 261976 is about 511.8359112059. The cubic root of 261976 is about 63.9863252033.

It can be divided in two parts, 26 and 1976, that added together give a palindrome (2002).

The spelling of 261976 in words is "two hundred sixty-one thousand, nine hundred seventy-six".