873166560 has 192 divisors, whose sum is σ = 3166055424. Its totient is φ = 198144000.

The previous prime is 873166537. The next prime is 873166561. The reversal of 873166560 is 65661378.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873166561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506500 + ... + 508220.

It is an arithmetic number, because the mean of its divisors is an integer number (16489872).

Almost surely, 2^873166560 is an apocalyptic number.

873166560 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 873166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583027712).

873166560 is an abundant number, since it is smaller than the sum of its proper divisors (2292888864).

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

873166560 is a wasteful number, since it uses less digits than its factorization.

873166560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 873166560 is about 29549.3918719151. The cubic root of 873166560 is about 955.7970776624.

The spelling of 873166560 in words is "eight hundred seventy-three million, one hundred sixty-six thousand, five hundred sixty".