864117144 has 192 divisors, whose sum is σ = 2630983680. Its totient is φ = 256132800.

The previous prime is 864117139. The next prime is 864117193. The reversal of 864117144 is 441711468.

864117144 is a `hidden beast` number, since 8 + 641 + 1 + 7 + 1 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 864117099 and 864117108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6804009 + ... + 6804135.

It is an arithmetic number, because the mean of its divisors is an integer number (13703040).

Almost surely, 2^864117144 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 864117144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315491840).

864117144 is an abundant number, since it is smaller than the sum of its proper divisors (1766866536).

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

864117144 is a wasteful number, since it uses less digits than its factorization.

864117144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 864117144 is about 29395.8695057656. The cubic root of 864117144 is about 952.4836742609.

The spelling of 864117144 in words is "eight hundred sixty-four million, one hundred seventeen thousand, one hundred forty-four".