875193984 has 320 divisors, whose sum is σ = 3080563200. Its totient is φ = 241367040.

The previous prime is 875193971. The next prime is 875193989. The reversal of 875193984 is 489391578.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 875193984.

It is not an unprimeable number, because it can be changed into a prime (875193989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249662 + ... + 2250050.

It is an arithmetic number, because the mean of its divisors is an integer number (9626760).

Almost surely, 2^875193984 is an apocalyptic number.

875193984 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 875193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540281600).

875193984 is an abundant number, since it is smaller than the sum of its proper divisors (2205369216).

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

875193984 is a wasteful number, since it uses less digits than its factorization.

875193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 432 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 875193984 is about 29583.6776618459. The cubic root of 875193984 is about 956.5362676955.

The spelling of 875193984 in words is "eight hundred seventy-five million, one hundred ninety-three thousand, nine hundred eighty-four".