864048080 has 80 divisors (see below), whose sum is σ = 2330267520. Its totient is φ = 291810816.

The previous prime is 864048079. The next prime is 864048109. The reversal of 864048080 is 80840468.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26006 + ... + 49034.

It is an arithmetic number, because the mean of its divisors is an integer number (29128344).

Almost surely, 2^864048080 is an apocalyptic number.

864048080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165133760).

864048080 is an abundant number, since it is smaller than the sum of its proper divisors (1466219440).

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

864048080 is a wasteful number, since it uses less digits than its factorization.

864048080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23116 (or 23110 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 864048080 is about 29394.6947594290. The cubic root of 864048080 is about 952.4582980390.

The spelling of 864048080 in words is "eight hundred sixty-four million, forty-eight thousand, eighty".