4629664 has 48 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 2062080.

The previous prime is 4629659. The next prime is 4629707. The reversal of 4629664 is 4669264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12717 + ... + 13075.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^4629664 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 4629664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

4629664 is an abundant number, since it is smaller than the sum of its proper divisors (5530976).

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

4629664 is a wasteful number, since it uses less digits than its factorization.

4629664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 4629664 is about 2151.6654014972. The cubic root of 4629664 is about 166.6670791101.

It can be divided in two parts, 46296 and 64, that added together give a triangular number (46360 = T₃₀₄).

The spelling of 4629664 in words is "four million, six hundred twenty-nine thousand, six hundred sixty-four".