64016000 has 64 divisors (see below), whose sum is σ = 159199560. Its totient is φ = 25600000.

The previous prime is 64015993. The next prime is 64016011. The reversal of 64016000 is 61046.

64016000 = 2³ + 3³ + ... + 126³.

It is a Cunningham number, because it is equal to 8001²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 4910656 + 59105344 = 2216^2 + 7688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 64016000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14000 + ... + 18000.

Almost surely, 2^64016000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79599780).

64016000 is an abundant number, since it is smaller than the sum of its proper divisors (95183560).

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

64016000 is an equidigital number, since it uses as much as digits as its factorization.

64016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 64016000 is about 8000.9999375078. Note that the first 4 decimals coincide. The cubic root of 64016000 is about 400.0333305559.

Adding to 64016000 its reverse (61046), we get a palindrome (64077046).

It can be divided in two parts, 640 and 16000, that multiplied together give a square (10240000 = 3200²).

The spelling of 64016000 in words is "sixty-four million, sixteen thousand".