845656960 has 64 divisors (see below), whose sum is σ = 2025720000. Its totient is φ = 337582080.

The previous prime is 845656949. The next prime is 845656979. The reversal of 845656960 is 69656548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422041 + ... + 424039.

It is an arithmetic number, because the mean of its divisors is an integer number (31651875).

Almost surely, 2^845656960 is an apocalyptic number.

845656960 is a gapful number since it is divisible by the number (80) 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 845656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012860000).

845656960 is an abundant number, since it is smaller than the sum of its proper divisors (1180063040).

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

845656960 is a wasteful number, since it uses less digits than its factorization.

845656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The square root of 845656960 is about 29080.1815675212. The cubic root of 845656960 is about 945.6521389059.

The spelling of 845656960 in words is "eight hundred forty-five million, six hundred fifty-six thousand, nine hundred sixty".