4031664 has 120 divisors (see below), whose sum is σ = 13070592. Its totient is φ = 1048320.

The previous prime is 4031641. The next prime is 4031681. The reversal of 4031664 is 4661304.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56749 + ... + 56819.

Almost surely, 2^4031664 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 4031664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535296).

4031664 is an abundant number, since it is smaller than the sum of its proper divisors (9038928).

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

4031664 is a wasteful number, since it uses less digits than its factorization.

4031664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4031664 is about 2007.9003959360. The cubic root of 4031664 is about 159.1578670184.

Adding to 4031664 its reverse (4661304), we get a palindrome (8692968).

The spelling of 4031664 in words is "four million, thirty-one thousand, six hundred sixty-four".