6000064 has 56 divisors (see below), whose sum is σ = 13898880. Its totient is φ = 2516736.

The previous prime is 6000061. The next prime is 6000073. The reversal of 6000064 is 4600006.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000061) by changing a digit.

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, 26319 + ... + 26545.

Almost surely, 2^6000064 is an apocalyptic number.

6000064 is a gapful number since it is divisible by the number (64) 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 6000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949440).

6000064 is an abundant number, since it is smaller than the sum of its proper divisors (7898816).

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

6000064 is a wasteful number, since it uses less digits than its factorization.

6000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 6000064 is about 2449.5028066936. The cubic root of 6000064 is about 181.7127053682.

The spelling of 6000064 in words is "six million, sixty-four", and thus it is an aban number and an eban number.