4647664 has 40 divisors (see below), whose sum is σ = 10901088. Its totient is φ = 1873920.

The previous prime is 4647661. The next prime is 4647667. The reversal of 4647664 is 4667464.

It is an interprime number because it is at equal distance from previous prime (4647661) and next prime (4647667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4647661) 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, 684 + ... + 3124.

Almost surely, 2^4647664 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 4647664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450544).

4647664 is an abundant number, since it is smaller than the sum of its proper divisors (6253424).

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

4647664 is a wasteful number, since it uses less digits than its factorization.

4647664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2467 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The square root of 4647664 is about 2155.8441502112. The cubic root of 4647664 is about 166.8827987116.

It can be divided in two parts, 464 and 7664, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 4647664 in words is "four million, six hundred forty-seven thousand, six hundred sixty-four".