861732 has 48 divisors (see below), whose sum is σ = 2284800. Its totient is φ = 280800.

The previous prime is 861719. The next prime is 861733. The reversal of 861732 is 237168.

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

It is a junction number, because it is equal to n+sod(n) for n = 861696 and 861705.

It is not an unprimeable number, because it can be changed into a prime (861733) by changing a digit.

861732 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 15 ways as a sum of consecutive naturals, for example, 8482 + ... + 8582.

It is an arithmetic number, because the mean of its divisors is an integer number (47600).

2⁸⁶¹⁷³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142400).

861732 is an abundant number, since it is smaller than the sum of its proper divisors (1423068).

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

861732 is a wasteful number, since it uses less digits than its factorization.

861732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 861732 is about 928.2952116649. The cubic root of 861732 is about 95.1606515351.

It can be divided in two parts, 8617 and 32, that added together give a square (8649 = 93²).

The spelling of 861732 in words is "eight hundred sixty-one thousand, seven hundred thirty-two".