8064000 has 264 divisors, whose sum is σ = 33210528. Its totient is φ = 1843200.

The previous prime is 8063989. The next prime is 8064011. The reversal of 8064000 is 4608.

It is an interprime number because it is at equal distance from previous prime (8063989) and next prime (8064011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151997 + ... + 1152003.

Almost surely, 2^8064000 is an apocalyptic number.

8064000 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 8064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16605264).

8064000 is an abundant number, since it is smaller than the sum of its proper divisors (25146528).

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

8064000 is a wasteful number, since it uses less digits than its factorization.

8064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8064000 is about 2839.7182958878. The cubic root of 8064000 is about 200.5319173986.

Adding to 8064000 its reverse (4608), we get a palindrome (8068608).

The spelling of 8064000 in words is "eight million, sixty-four thousand".