4656064 has 56 divisors (see below), whose sum is σ = 11135360. Its totient is φ = 1886976.

The previous prime is 4656061. The next prime is 4656077. The reversal of 4656064 is 4606564.

4656064 = T₃₄₉ + T₃₅₀ + ... + T₄₁₂.

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 (4656061) 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, 8239 + ... + 8785.

Almost surely, 2^4656064 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 4656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567680).

4656064 is an abundant number, since it is smaller than the sum of its proper divisors (6479296).

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

4656064 is a wasteful number, since it uses less digits than its factorization.

4656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 4656064 is about 2157.7914635108. The cubic root of 4656064 is about 166.9832772766.

The spelling of 4656064 in words is "four million, six hundred fifty-six thousand, sixty-four".