64004600 has 96 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 22742400.

The previous prime is 64004599. The next prime is 64004621. The reversal of 64004600 is 640046.

64004600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103091 + ... + 103709.

It is an arithmetic number, because the mean of its divisors is an integer number (1729800).

Almost surely, 2^64004600 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 64004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030400).

64004600 is an abundant number, since it is smaller than the sum of its proper divisors (102056200).

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

64004600 is a wasteful number, since it uses less digits than its factorization.

64004600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

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

The square root of 64004600 is about 8000.2874948342. The cubic root of 64004600 is about 400.0095831037.

Adding to 64004600 its reverse (640046), we get a palindrome (64644646).

Multiplying 64004600 by its reverse (640046), we get a square (40965888211600 = 6400460²).

64004600 divided by its reverse (640046) gives a square (100 = 10²).

The spelling of 64004600 in words is "sixty-four million, four thousand, six hundred".