846243936 has 120 divisors (see below), whose sum is σ = 2549802024. Its totient is φ = 275166720.

The previous prime is 846243929. The next prime is 846243947. The reversal of 846243936 is 639342648.

It is a super-2 number, since 2×846243936² = 1432257598433544192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 846243891 and 846243900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102291 + ... + 110253.

Almost surely, 2^846243936 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 846243936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274901012).

846243936 is an abundant number, since it is smaller than the sum of its proper divisors (1703558088).

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

846243936 is a wasteful number, since it uses less digits than its factorization.

846243936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8026 (or 8009 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 846243936 is about 29090.2721884825. The cubic root of 846243936 is about 945.8708827380.

The spelling of 846243936 in words is "eight hundred forty-six million, two hundred forty-three thousand, nine hundred thirty-six".