7653216 has 48 divisors (see below), whose sum is σ = 20790000. Its totient is φ = 2462208.

The previous prime is 7653211. The next prime is 7653229. The reversal of 7653216 is 6123567.

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 (7653211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1410 + ... + 4158.

It is an arithmetic number, because the mean of its divisors is an integer number (433125).

Almost surely, 2^7653216 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 7653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10395000).

7653216 is an abundant number, since it is smaller than the sum of its proper divisors (13136784).

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

7653216 is a wasteful number, since it uses less digits than its factorization.

7653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2783 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 7653216 is about 2766.4446497264. Note that the first 3 decimals coincide. The cubic root of 7653216 is about 197.0673410774.

The spelling of 7653216 in words is "seven million, six hundred fifty-three thousand, two hundred sixteen".