846005664 has 48 divisors (see below), whose sum is σ = 2538019008. Its totient is φ = 241715712.

The previous prime is 846005653. The next prime is 846005669. The reversal of 846005664 is 466500648.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (846005669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628797 + ... + 630140.

It is an arithmetic number, because the mean of its divisors is an integer number (52875396).

Almost surely, 2^846005664 is an apocalyptic number.

846005664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

846005664 is an abundant number, since it is smaller than the sum of its proper divisors (1692013344).

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

846005664 is a wasteful number, since it uses less digits than its factorization.

846005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258957 (or 1258949 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 846005664 is about 29086.1765105007. The cubic root of 846005664 is about 945.7820999442.

The spelling of 846005664 in words is "eight hundred forty-six million, five thousand, six hundred sixty-four".