873456144 has 160 divisors (see below), whose sum is σ = 2624832000. Its totient is φ = 247495680.

The previous prime is 873456139. The next prime is 873456161. The reversal of 873456144 is 441654378.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 873456096 and 873456105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832132 + ... + 833180.

It is an arithmetic number, because the mean of its divisors is an integer number (16405200).

Almost surely, 2^873456144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873456144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416000).

873456144 is an abundant number, since it is smaller than the sum of its proper divisors (1751375856).

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

873456144 is a wasteful number, since it uses less digits than its factorization.

873456144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 873456144 is about 29554.2914650309. The cubic root of 873456144 is about 955.9027287340.

The spelling of 873456144 in words is "eight hundred seventy-three million, four hundred fifty-six thousand, one hundred forty-four".