873984672 has 144 divisors (see below), whose sum is σ = 2737294560. Its totient is φ = 262310400.

The previous prime is 873984611. The next prime is 873984673. The reversal of 873984672 is 276489378.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (873984673) 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, 344047 + ... + 346577.

It is an arithmetic number, because the mean of its divisors is an integer number (19008990).

Almost surely, 2^873984672 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 873984672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368647280).

873984672 is an abundant number, since it is smaller than the sum of its proper divisors (1863309888).

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

873984672 is a wasteful number, since it uses less digits than its factorization.

873984672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2656 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 873984672 is about 29563.2317583853. The cubic root of 873984672 is about 956.0954953245.

The spelling of 873984672 in words is "eight hundred seventy-three million, nine hundred eighty-four thousand, six hundred seventy-two".