4257664 has 64 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 1935360.

The previous prime is 4257647. The next prime is 4257677. The reversal of 4257664 is 4667524.

It is a tau number, because it is divible by the number of its divisors (64).

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, 115054 + ... + 115090.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 2^4257664 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 4257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200).

4257664 is an abundant number, since it is smaller than the sum of its proper divisors (5044736).

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

4257664 is a wasteful number, since it uses less digits than its factorization.

4257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 4257664 is about 2063.4107686062. The cubic root of 4257664 is about 162.0778978109.

The spelling of 4257664 in words is "four million, two hundred fifty-seven thousand, six hundred sixty-four".