64002000 has 80 divisors (see below), whose sum is σ = 206361792. Its totient is φ = 17065600.

The previous prime is 64001941. The next prime is 64002061. The reversal of 64002000 is 20046.

64002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667 + ... + 11333.

Almost surely, 2^64002000 is an apocalyptic number.

64002000 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 64002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103180896).

64002000 is an abundant number, since it is smaller than the sum of its proper divisors (142359792).

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

64002000 is a wasteful number, since it uses less digits than its factorization.

64002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10693 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 64002000 is about 8000.1249990235. The cubic root of 64002000 is about 400.0041666233.

Adding to 64002000 its reverse (20046), we get a palindrome (64022046).

The spelling of 64002000 in words is "sixty-four million, two thousand", and thus it is an eban number.