7073664 has 96 divisors (see below), whose sum is σ = 20532600. Its totient is φ = 2156544.

The previous prime is 7073657. The next prime is 7073699. The reversal of 7073664 is 4663707.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 64842 + ... + 64950.

Almost surely, 2^7073664 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 7073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10266300).

7073664 is an abundant number, since it is smaller than the sum of its proper divisors (13458936).

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

7073664 is a wasteful number, since it uses less digits than its factorization.

7073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 7073664 is about 2659.6360653292. The cubic root of 7073664 is about 191.9617979550.

It can be divided in two parts, 707 and 3664, that added together give a triangular number (4371 = T₉₃).

The spelling of 7073664 in words is "seven million, seventy-three thousand, six hundred sixty-four".