864510144 has 112 divisors (see below), whose sum is σ = 2373636096. Its totient is φ = 277401600.

The previous prime is 864510137. The next prime is 864510149. The reversal of 864510144 is 441015468.

It is not an unprimeable number, because it can be changed into a prime (864510149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2005609 + ... + 2006039.

Almost surely, 2^864510144 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 864510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186818048).

864510144 is an abundant number, since it is smaller than the sum of its proper divisors (1509125952).

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

864510144 is a wasteful number, since it uses less digits than its factorization.

864510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 864510144 is about 29402.5533585095. The cubic root of 864510144 is about 952.6280487257.

The spelling of 864510144 in words is "eight hundred sixty-four million, five hundred ten thousand, one hundred forty-four".