261846 has 32 divisors (see below), whose sum is σ = 628320. Its totient is φ = 80352.

The previous prime is 261823. The next prime is 261847. The reversal of 261846 is 648162.

261846 is a `hidden beast` number, since 2 + 618 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (19635).

2²⁶¹⁸⁴⁶ is an apocalyptic number.

261846 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 261846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314160).

261846 is an abundant number, since it is smaller than the sum of its proper divisors (366474).

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

261846 is a wasteful number, since it uses less digits than its factorization.

261846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 261846 is about 511.7089016228. The cubic root of 261846 is about 63.9757395026.

The spelling of 261846 in words is "two hundred sixty-one thousand, eight hundred forty-six".