4688064 has 56 divisors (see below), whose sum is σ = 13787120. Its totient is φ = 1562112.

The previous prime is 4688017. The next prime is 4688069. The reversal of 4688064 is 4608864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4688069) 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, 372 + ... + 3084.

Almost surely, 2^4688064 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 4688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6893560).

4688064 is an abundant number, since it is smaller than the sum of its proper divisors (9099056).

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

4688064 is a wasteful number, since it uses less digits than its factorization.

4688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4688064 is about 2165.1937557641. The cubic root of 4688064 is about 167.3649494324.

The spelling of 4688064 in words is "four million, six hundred eighty-eight thousand, sixty-four".