864120768 has 56 divisors (see below), whose sum is σ = 2612940672. Its totient is φ = 246891264.

The previous prime is 864120767. The next prime is 864120773. The reversal of 864120768 is 867021468.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864120767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320130 + ... + 322817.

Almost surely, 2^864120768 is an apocalyptic number.

It is an amenable number.

864120768 is an abundant number, since it is smaller than the sum of its proper divisors (1748819904).

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

864120768 is a wasteful number, since it uses less digits than its factorization.

864120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642969 (or 642959 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 864120768 is about 29395.9311470142. The cubic root of 864120768 is about 952.4850057918.

The spelling of 864120768 in words is "eight hundred sixty-four million, one hundred twenty thousand, seven hundred sixty-eight".