4701664 has 72 divisors (see below), whose sum is σ = 10945368. Its totient is φ = 1969920.

The previous prime is 4701661. The next prime is 4701709. The reversal of 4701664 is 4661074.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4701661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127054 + ... + 127090.

It is an arithmetic number, because the mean of its divisors is an integer number (152019).

Almost surely, 2^4701664 is an apocalyptic number.

4701664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472684).

4701664 is an abundant number, since it is smaller than the sum of its proper divisors (6243704).

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

4701664 is a wasteful number, since it uses less digits than its factorization.

4701664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4701664 is about 2168.3320778884. The cubic root of 4701664 is about 167.5266342142.

The spelling of 4701664 in words is "four million, seven hundred one thousand, six hundred sixty-four".