846713340 has 288 divisors, whose sum is σ = 3000291840. Its totient is φ = 191116800.

The previous prime is 846713333. The next prime is 846713341. The reversal of 846713340 is 43317648.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 846713295 and 846713304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846713341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2670862 + ... + 2671178.

It is an arithmetic number, because the mean of its divisors is an integer number (10417680).

Almost surely, 2^846713340 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 846713340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500145920).

846713340 is an abundant number, since it is smaller than the sum of its proper divisors (2153578500).

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

846713340 is a wasteful number, since it uses less digits than its factorization.

846713340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 846713340 is about 29098.3391278609. The cubic root of 846713340 is about 946.0457391392.

The spelling of 846713340 in words is "eight hundred forty-six million, seven hundred thirteen thousand, three hundred forty".