846324864 has 576 divisors, whose sum is σ = 3265142400. Its totient is φ = 207728640.

The previous prime is 846324863. The next prime is 846324877. The reversal of 846324864 is 468423648.

846324864 is a `hidden beast` number, since 8 + 4 + 632 + 4 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (846324863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18006889 + ... + 18006935.

It is an arithmetic number, because the mean of its divisors is an integer number (5668650).

Almost surely, 2^846324864 is an apocalyptic number.

846324864 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 846324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632571200).

846324864 is an abundant number, since it is smaller than the sum of its proper divisors (2418817536).

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

846324864 is a wasteful number, since it uses less digits than its factorization.

846324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 846324864 is about 29091.6631356820. The cubic root of 846324864 is about 945.9010336183.

The spelling of 846324864 in words is "eight hundred forty-six million, three hundred twenty-four thousand, eight hundred sixty-four".