4768064 has 56 divisors (see below), whose sum is σ = 11216640. Its totient is φ = 1967616.

The previous prime is 4768063. The next prime is 4768067. The reversal of 4768064 is 4608674.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12809 + ... + 13175.

Almost surely, 2^4768064 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 4768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608320).

4768064 is an abundant number, since it is smaller than the sum of its proper divisors (6448576).

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

4768064 is a wasteful number, since it uses less digits than its factorization.

4768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 4768064 is about 2183.5897050499. The cubic root of 4768064 is about 168.3115910443.

The spelling of 4768064 in words is "four million, seven hundred sixty-eight thousand, sixty-four".