846384864 has 96 divisors (see below), whose sum is σ = 2421788544. Its totient is φ = 257256960.

The previous prime is 846384863. The next prime is 846384881. The reversal of 846384864 is 468483648.

846384864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846384863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99499 + ... + 107669.

It is an arithmetic number, because the mean of its divisors is an integer number (25226964).

Almost surely, 2^846384864 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 846384864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210894272).

846384864 is an abundant number, since it is smaller than the sum of its proper divisors (1575403680).

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

846384864 is a wasteful number, since it uses less digits than its factorization.

846384864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8272 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The square root of 846384864 is about 29092.6943406760. The cubic root of 846384864 is about 945.9233862330.

The spelling of 846384864 in words is "eight hundred forty-six million, three hundred eighty-four thousand, eight hundred sixty-four".