864105984 has 360 divisors, whose sum is σ = 3001850280. Its totient is φ = 238436352.

The previous prime is 864105947. The next prime is 864106003. The reversal of 864105984 is 489501468.

It is a super-4 number, since 4×864105984⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9709012 + ... + 9709100.

It is an arithmetic number, because the mean of its divisors is an integer number (8338473).

Almost surely, 2^864105984 is an apocalyptic number.

864105984 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 864105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500925140).

864105984 is an abundant number, since it is smaller than the sum of its proper divisors (2137744296).

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

864105984 is a wasteful number, since it uses less digits than its factorization.

864105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 864105984 is about 29395.6796825656. The cubic root of 864105984 is about 952.4795738278.

The spelling of 864105984 in words is "eight hundred sixty-four million, one hundred five thousand, nine hundred eighty-four".