864205104 has 160 divisors (see below), whose sum is σ = 2725539840. Its totient is φ = 230630400.

The previous prime is 864205091. The next prime is 864205109. The reversal of 864205104 is 401502468.

It is not an unprimeable number, because it can be changed into a prime (864205109) 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 31 ways as a sum of consecutive naturals, for example, 300634 + ... + 303494.

It is an arithmetic number, because the mean of its divisors is an integer number (17034624).

Almost surely, 2^864205104 is an apocalyptic number.

864205104 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 864205104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362769920).

864205104 is an abundant number, since it is smaller than the sum of its proper divisors (1861334736).

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

864205104 is a wasteful number, since it uses less digits than its factorization.

864205104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 864205104 is about 29397.3655962571. The cubic root of 864205104 is about 952.5159914924.

The spelling of 864205104 in words is "eight hundred sixty-four million, two hundred five thousand, one hundred four".