873000064 has 48 divisors (see below), whose sum is σ = 1756744470. Its totient is φ = 432132096.

The previous prime is 873000041. The next prime is 873000077. The reversal of 873000064 is 460000378.

It can be written as a sum of positive squares in only one way, i.e., 772840000 + 100160064 = 27800^2 + 10008^2 .

It is a super-2 number, since 2×873000064² = 1524258223488008192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 872999996 and 873000041.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2472912 + ... + 2473264.

Almost surely, 2^873000064 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 873000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878372235).

873000064 is an abundant number, since it is smaller than the sum of its proper divisors (883744406).

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

873000064 is an equidigital number, since it uses as much as digits as its factorization.

873000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 873000064 is about 29546.5744884242. The cubic root of 873000064 is about 955.7363231193.

The spelling of 873000064 in words is "eight hundred seventy-three million, sixty-four", and thus it is an aban number.