846132 has 36 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 241584.

The previous prime is 846113. The next prime is 846137. The reversal of 846132 is 231648.

It is a happy number.

846132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×846132² = 1431878722848, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 846132.

It is not an unprimeable number, because it can be changed into a prime (846137) by changing a digit.

846132 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 11 ways as a sum of consecutive naturals, for example, 132 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

2⁸⁴⁶¹³² 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 846132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

846132 is an abundant number, since it is smaller than the sum of its proper divisors (1452108).

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

846132 is a wasteful number, since it uses less digits than its factorization.

846132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1451 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 846132 is about 919.8543362946. The cubic root of 846132 is about 94.5829176217.

It can be divided in two parts, 84 and 6132, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 846132 in words is "eight hundred forty-six thousand, one hundred thirty-two".