864733344 has 96 divisors (see below), whose sum is σ = 2355462144. Its totient is φ = 277482240.

The previous prime is 864733343. The next prime is 864733351. The reversal of 864733344 is 443337468.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 864733296 and 864733305.

It is not an unprimeable number, because it can be changed into a prime (864733343) 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, 662997 + ... + 664299.

It is an arithmetic number, because the mean of its divisors is an integer number (24536064).

Almost surely, 2^864733344 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 864733344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177731072).

864733344 is an abundant number, since it is smaller than the sum of its proper divisors (1490728800).

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

864733344 is a wasteful number, since it uses less digits than its factorization.

864733344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1562 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 864733344 is about 29406.3487022786. The cubic root of 864733344 is about 952.7100251242.

The spelling of 864733344 in words is "eight hundred sixty-four million, seven hundred thirty-three thousand, three hundred forty-four".