261300 has 72 divisors (see below), whose sum is σ = 826336. Its totient is φ = 63360.

The previous prime is 261281. The next prime is 261301. The reversal of 261300 is 3162.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261301) by changing a digit.

261300 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 23 ways as a sum of consecutive naturals, for example, 3867 + ... + 3933.

2²⁶¹³⁰⁰ is an apocalyptic number.

261300 is a gapful number since it is divisible by the number (20) 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 261300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413168).

261300 is an abundant number, since it is smaller than the sum of its proper divisors (565036).

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

261300 is a wasteful number, since it uses less digits than its factorization.

261300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 261300 is about 511.1751167653. The cubic root of 261300 is about 63.9312412593.

Adding to 261300 its reverse (3162), we get a palindrome (264462).

It can be divided in two parts, 261 and 300, that added together give a triangular number (561 = T₃₃).

The spelling of 261300 in words is "two hundred sixty-one thousand, three hundred".