864048000 has 256 divisors, whose sum is σ = 2932899840. Its totient is φ = 224921600.

The previous prime is 864047993. The next prime is 864048007. The reversal of 864048000 is 840468.

It is an interprime number because it is at equal distance from previous prime (864047993) and next prime (864048007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864048007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2255809 + ... + 2256191.

It is an arithmetic number, because the mean of its divisors is an integer number (11456640).

Almost surely, 2^864048000 is an apocalyptic number.

864048000 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 864048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466449920).

864048000 is an abundant number, since it is smaller than the sum of its proper divisors (2068851840).

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

864048000 is a wasteful number, since it uses less digits than its factorization.

864048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 864048000 is about 29394.6933986391. The cubic root of 864048000 is about 952.4582686438.

Adding to 864048000 its reverse (840468), we get a palindrome (864888468).

The spelling of 864048000 in words is "eight hundred sixty-four million, forty-eight thousand".