846980064 has 120 divisors (see below), whose sum is σ = 2846855088. Its totient is φ = 241989120.

The previous prime is 846980051. The next prime is 846980077. The reversal of 846980064 is 460089648.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (846980051) and next prime (846980077).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5197 + ... + 41484.

Almost surely, 2^846980064 is an apocalyptic number.

846980064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846980064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423427544).

846980064 is an abundant number, since it is smaller than the sum of its proper divisors (1999875024).

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

846980064 is a wasteful number, since it uses less digits than its factorization.

846980064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46710 (or 46693 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 846980064 is about 29102.9219151617. The cubic root of 846980064 is about 946.1450669757.

The spelling of 846980064 in words is "eight hundred forty-six million, nine hundred eighty thousand, sixty-four".