867975840 has 288 divisors, whose sum is σ = 3141815040. Its totient is φ = 217755648.

The previous prime is 867975839. The next prime is 867975847. The reversal of 867975840 is 48579768.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (867975847) 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, 2417581 + ... + 2417939.

It is an arithmetic number, because the mean of its divisors is an integer number (10909080).

Almost surely, 2^867975840 is an apocalyptic number.

867975840 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 867975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570907520).

867975840 is an abundant number, since it is smaller than the sum of its proper divisors (2273839200).

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

867975840 is a wasteful number, since it uses less digits than its factorization.

867975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 867975840 is about 29461.4297005424. The cubic root of 867975840 is about 953.8993340770.

The spelling of 867975840 in words is "eight hundred sixty-seven million, nine hundred seventy-five thousand, eight hundred forty".