64048000 has 64 divisors (see below), whose sum is σ = 159279120. Its totient is φ = 25612800.

The previous prime is 64047983. The next prime is 64048001. The reversal of 64048000 is 84046.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64048001) 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, 13999 + ... + 18001.

Almost surely, 2^64048000 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 64048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79639560).

64048000 is an abundant number, since it is smaller than the sum of its proper divisors (95231120).

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

64048000 is an equidigital number, since it uses as much as digits as its factorization.

64048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 64048000 is about 8002.9994377108. Note that the first 3 decimals coincide. The cubic root of 64048000 is about 400.0999750104.

The spelling of 64048000 in words is "sixty-four million, forty-eight thousand".