864144 has 60 divisors (see below), whose sum is σ = 2567916. Its totient is φ = 270336.

The previous prime is 864137. The next prime is 864151. The reversal of 864144 is 441468.

864144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (864137) and next prime (864151).

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 345744 = 720^2 + 588^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3072) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2272 + ... + 2624.

2⁸⁶⁴¹⁴⁴ 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 864144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283958).

864144 is an abundant number, since it is smaller than the sum of its proper divisors (1703772).

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

864144 is a wasteful number, since it uses less digits than its factorization.

864144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 864144 is about 929.5934595295. The cubic root of 864144 is about 95.2493541610.

The spelling of 864144 in words is "eight hundred sixty-four thousand, one hundred forty-four".