873872960 has 56 divisors (see below), whose sum is σ = 2112020160. Its totient is φ = 344323584.

The previous prime is 873872953. The next prime is 873872963. The reversal of 873872960 is 69278378.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 873872899 and 873872908.

It is not an unprimeable number, because it can be changed into a prime (873872963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061 + ... + 41819.

Almost surely, 2^873872960 is an apocalyptic number.

873872960 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 873872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056010080).

873872960 is an abundant number, since it is smaller than the sum of its proper divisors (1238147200).

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

873872960 is a wasteful number, since it uses less digits than its factorization.

873872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40843 (or 40833 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 873872960 is about 29561.3423240556. The cubic root of 873872960 is about 956.0547578096.

The spelling of 873872960 in words is "eight hundred seventy-three million, eight hundred seventy-two thousand, nine hundred sixty".