6864000 has 256 divisors, whose sum is σ = 26732160. Its totient is φ = 1536000.

The previous prime is 6863993. The next prime is 6864019. The reversal of 6864000 is 4686.

It is a super-2 number, since 2×6864000² = 94228992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527994 + ... + 528006.

Almost surely, 2^6864000 is an apocalyptic number.

6864000 is a gapful number since it is divisible by the number (60) 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 6864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

6864000 is an abundant number, since it is smaller than the sum of its proper divisors (19868160).

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

6864000 is a wasteful number, since it uses less digits than its factorization.

6864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6864000 is about 2619.9236630101. The cubic root of 6864000 is about 190.0461568379.

Adding to 6864000 its reverse (4686), we get a palindrome (6868686).

It can be divided in two parts, 686 and 4000, that multiplied together give a cube (2744000 = 140³).

The spelling of 6864000 in words is "six million, eight hundred sixty-four thousand".