873516960 has 168 divisors, whose sum is σ = 3094523460. Its totient is φ = 232906752.

The previous prime is 873516947. The next prime is 873516971. The reversal of 873516960 is 69615378.

It is a happy number.

873516960 is a `hidden beast` number, since 8 + 73 + 516 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 869306256 + 4210704 = 29484^2 + 2052^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 112896 + ... + 120384.

Almost surely, 2^873516960 is an apocalyptic number.

873516960 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 873516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547261730).

873516960 is an abundant number, since it is smaller than the sum of its proper divisors (2221006500).

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

873516960 is an equidigital number, since it uses as much as digits as its factorization.

873516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7522 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 873516960 is about 29555.3203332327. The cubic root of 873516960 is about 955.9249137178.

The spelling of 873516960 in words is "eight hundred seventy-three million, five hundred sixteen thousand, nine hundred sixty".