4073664 has 84 divisors (see below), whose sum is σ = 12566904. Its totient is φ = 1161216.

The previous prime is 4073627. The next prime is 4073677. The reversal of 4073664 is 4663704.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9192 + ... + 9624.

It is an arithmetic number, because the mean of its divisors is an integer number (149606).

Almost surely, 2^4073664 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 4073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283452).

4073664 is an abundant number, since it is smaller than the sum of its proper divisors (8493240).

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

4073664 is a wasteful number, since it uses less digits than its factorization.

4073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 4073664 is about 2018.3319845853. The cubic root of 4073664 is about 159.7086364091.

The spelling of 4073664 in words is "four million, seventy-three thousand, six hundred sixty-four".