846677664 has 192 divisors, whose sum is σ = 2880864000. Its totient is φ = 241823232.

The previous prime is 846677653. The next prime is 846677701. The reversal of 846677664 is 466776648.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 846677664.

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, 294924 + ... + 297780.

It is an arithmetic number, because the mean of its divisors is an integer number (15004500).

Almost surely, 2^846677664 is an apocalyptic number.

846677664 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 846677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440432000).

846677664 is an abundant number, since it is smaller than the sum of its proper divisors (2034186336).

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

846677664 is a wasteful number, since it uses less digits than its factorization.

846677664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2869 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 846677664 is about 29097.7260967245. The cubic root of 846677664 is about 946.0324518395.

The spelling of 846677664 in words is "eight hundred forty-six million, six hundred seventy-seven thousand, six hundred sixty-four".