846675144 has 96 divisors (see below), whose sum is σ = 2691549120. Its totient is φ = 235363968.

The previous prime is 846675143. The next prime is 846675173. The reversal of 846675144 is 441576648.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 846675144.

It is not an unprimeable number, because it can be changed into a prime (846675143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054 + ... + 41349.

It is an arithmetic number, because the mean of its divisors is an integer number (28036970).

Almost surely, 2^846675144 is an apocalyptic number.

846675144 is a gapful number since it is divisible by the number (84) 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 846675144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345774560).

846675144 is an abundant number, since it is smaller than the sum of its proper divisors (1844873976).

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

846675144 is a wasteful number, since it uses less digits than its factorization.

846675144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45459 (or 45452 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 846675144 is about 29097.6827943395. The cubic root of 846675144 is about 946.0315132674.

The spelling of 846675144 in words is "eight hundred forty-six million, six hundred seventy-five thousand, one hundred forty-four".