64064000 has 320 divisors, whose sum is σ = 214486272. Its totient is φ = 18432000.

The previous prime is 64063981. The next prime is 64064051. The reversal of 64064000 is 46046.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927994 + ... + 4928006.

Almost surely, 2^64064000 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 64064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

64064000 is an abundant number, since it is smaller than the sum of its proper divisors (150422272).

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

64064000 is a wasteful number, since it uses less digits than its factorization.

64064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 64064000 is about 8003.9990004997. Note that the first 3 decimals coincide. The cubic root of 64064000 is about 400.1332889136.

It can be divided in two parts, 640 and 64000, that multiplied together give a 4-th power (40960000 = 80⁴).

The spelling of 64064000 in words is "sixty-four million, sixty-four thousand", and thus it is an eban number.