64008000 has 336 divisors, whose sum is σ = 263737344. Its totient is φ = 14515200.

The previous prime is 64007989. The next prime is 64008001. The reversal of 64008000 is 80046.

It is a tau number, because it is divible by the number of its divisors (336).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64008001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503937 + ... + 504063.

Almost surely, 2^64008000 is an apocalyptic number.

64008000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is a pronic number, being equal to 8000×8001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131868672).

64008000 is an abundant number, since it is smaller than the sum of its proper divisors (199729344).

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

64008000 is a wasteful number, since it uses less digits than its factorization.

64008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

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

The square root of 64008000 is about 8000.4999843760. The cubic root of 64008000 is about 400.0166659723.

Adding to 64008000 its reverse (80046), we get a palindrome (64088046).

It can be divided in two parts, 6400 and 8000, that added together give a square (14400 = 120²).

The spelling of 64008000 in words is "sixty-four million, eight thousand".