7133664 has 48 divisors (see below), whose sum is σ = 19716480. Its totient is φ = 2252160.

The previous prime is 7133663. The next prime is 7133701. The reversal of 7133664 is 4663317.

7133664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7133663) 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, 132 + ... + 3779.

It is an arithmetic number, because the mean of its divisors is an integer number (410760).

Almost surely, 2^7133664 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 7133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858240).

7133664 is an abundant number, since it is smaller than the sum of its proper divisors (12582816).

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

7133664 is a wasteful number, since it uses less digits than its factorization.

7133664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3935 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 7133664 is about 2670.8919858354. The cubic root of 7133664 is about 192.5030212603.

The spelling of 7133664 in words is "seven million, one hundred thirty-three thousand, six hundred sixty-four".