7633216 has 28 divisors (see below), whose sum is σ = 15521940. Its totient is φ = 3722240.

The previous prime is 7633181. The next prime is 7633237. The reversal of 7633216 is 6123367.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 4393216 = 1800^2 + 2096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1170 + ... + 4078.

It is an arithmetic number, because the mean of its divisors is an integer number (554355).

Almost surely, 2^7633216 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 7633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760970).

7633216 is an abundant number, since it is smaller than the sum of its proper divisors (7888724).

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

7633216 is a wasteful number, since it uses less digits than its factorization.

7633216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2952 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 7633216 is about 2762.8275371438. The cubic root of 7633216 is about 196.8955272457.

The spelling of 7633216 in words is "seven million, six hundred thirty-three thousand, two hundred sixteen".