4017664 has 80 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 1603584.

The previous prime is 4017659. The next prime is 4017667. The reversal of 4017664 is 4667104.

It is a super-2 number, since 2×4017664² = 32283248033792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4017667) 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, 68067 + ... + 68125.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

Almost surely, 2^4017664 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 4017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

4017664 is an abundant number, since it is smaller than the sum of its proper divisors (5803136).

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

4017664 is an equidigital number, since it uses as much as digits as its factorization.

4017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

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

The square root of 4017664 is about 2004.4111354710. The cubic root of 4017664 is about 158.9734275175.

The spelling of 4017664 in words is "four million, seventeen thousand, six hundred sixty-four".