864075960 has 384 divisors, whose sum is σ = 3275251200. Its totient is φ = 195486720.

The previous prime is 864075941. The next prime is 864075973. The reversal of 864075960 is 69570468.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4827151 + ... + 4827329.

It is an arithmetic number, because the mean of its divisors is an integer number (8529300).

Almost surely, 2^864075960 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 864075960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637625600).

864075960 is an abundant number, since it is smaller than the sum of its proper divisors (2411175240).

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

864075960 is a wasteful number, since it uses less digits than its factorization.

864075960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 864075960 is about 29395.1689908393. The cubic root of 864075960 is about 952.4685421648.

The spelling of 864075960 in words is "eight hundred sixty-four million, seventy-five thousand, nine hundred sixty".