845164160 has 128 divisors (see below), whose sum is σ = 2138572800. Its totient is φ = 318873600.

The previous prime is 845164153. The next prime is 845164171. The reversal of 845164160 is 61461548.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 845164160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812921 + ... + 813959.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^845164160 is an apocalyptic number.

845164160 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 845164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

845164160 is an abundant number, since it is smaller than the sum of its proper divisors (1293408640).

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

845164160 is a wasteful number, since it uses less digits than its factorization.

845164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 845164160 is about 29071.7072082119. The cubic root of 845164160 is about 945.4684127426.

The spelling of 845164160 in words is "eight hundred forty-five million, one hundred sixty-four thousand, one hundred sixty".