846605382 has 64 divisors (see below), whose sum is σ = 2064990720. Its totient is φ = 226001664.

The previous prime is 846605369. The next prime is 846605393. The reversal of 846605382 is 283506648.

It is a super-3 number, since 3×846605382³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50988 + ... + 65520.

It is an arithmetic number, because the mean of its divisors is an integer number (32265480).

Almost surely, 2^846605382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846605382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032495360).

846605382 is an abundant number, since it is smaller than the sum of its proper divisors (1218385338).

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

846605382 is a wasteful number, since it uses less digits than its factorization.

846605382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14637.

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 846605382 is about 29096.4840143960. The cubic root of 846605382 is about 946.0055297232.

The spelling of 846605382 in words is "eight hundred forty-six million, six hundred five thousand, three hundred eighty-two".