846874160 has 120 divisors (see below), whose sum is σ = 2190797280. Its totient is φ = 304184320.

The previous prime is 846874129. The next prime is 846874169. The reversal of 846874160 is 61478648.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846874169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861029 + ... + 862011.

It is an arithmetic number, because the mean of its divisors is an integer number (18256644).

Almost surely, 2^846874160 is an apocalyptic number.

846874160 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 846874160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095398640).

846874160 is an abundant number, since it is smaller than the sum of its proper divisors (1343923120).

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

846874160 is a wasteful number, since it uses less digits than its factorization.

846874160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 846874160 is about 29101.1023846177. The cubic root of 846874160 is about 946.1056308945.

It can be divided in two parts, 8468 and 74160, that added together give a palindrome (82628).

The spelling of 846874160 in words is "eight hundred forty-six million, eight hundred seventy-four thousand, one hundred sixty".