873918864 has 240 divisors, whose sum is σ = 3188045952. Its totient is φ = 216870912.

The previous prime is 873918863. The next prime is 873918883. The reversal of 873918864 is 468819378.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 873918864.

It is not an unprimeable number, because it can be changed into a prime (873918863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220807 + ... + 224729.

Almost surely, 2^873918864 is an apocalyptic number.

873918864 is a gapful number since it is divisible by the number (84) 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 873918864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594022976).

873918864 is an abundant number, since it is smaller than the sum of its proper divisors (2314127088).

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

873918864 is a wasteful number, since it uses less digits than its factorization.

873918864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3965 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 873918864 is about 29562.1187332708. The cubic root of 873918864 is about 956.0714978359.

The spelling of 873918864 in words is "eight hundred seventy-three million, nine hundred eighteen thousand, eight hundred sixty-four".