864100164 has 48 divisors (see below), whose sum is σ = 2135463680. Its totient is φ = 271188000.

The previous prime is 864100163. The next prime is 864100201. The reversal of 864100164 is 461001468.

It is not an unprimeable number, because it can be changed into a prime (864100163) 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 15 ways as a sum of consecutive naturals, for example, 25539 + ... + 48789.

Almost surely, 2^864100164 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 864100164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067731840).

864100164 is an abundant number, since it is smaller than the sum of its proper divisors (1271363516).

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

864100164 is a wasteful number, since it uses less digits than its factorization.

864100164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23440 (or 23438 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 864100164 is about 29395.5806882599. The cubic root of 864100164 is about 952.4774354159.

The spelling of 864100164 in words is "eight hundred sixty-four million, one hundred thousand, one hundred sixty-four".