846692064 has 72 divisors (see below), whose sum is σ = 2414444760. Its totient is φ = 281449728.

The previous prime is 846692027. The next prime is 846692069. The reversal of 846692064 is 460296648.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846692069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105274 + ... + 113030.

It is an arithmetic number, because the mean of its divisors is an integer number (33533955).

Almost surely, 2^846692064 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 846692064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207222380).

846692064 is an abundant number, since it is smaller than the sum of its proper divisors (1567752696).

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

846692064 is a wasteful number, since it uses less digits than its factorization.

846692064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152 (or 8141 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 846692064 is about 29097.9735376882. The cubic root of 846692064 is about 946.0378150730.

The spelling of 846692064 in words is "eight hundred forty-six million, six hundred ninety-two thousand, sixty-four".