7641216 has 160 divisors (see below), whose sum is σ = 25177680. Its totient is φ = 2280960.

The previous prime is 7641197. The next prime is 7641223. The reversal of 7641216 is 6121467.

7641216 is a `hidden beast` number, since 7 + 641 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 7641216.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114015 + ... + 114081.

Almost surely, 2^7641216 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 7641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588840).

7641216 is an abundant number, since it is smaller than the sum of its proper divisors (17536464).

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

7641216 is a wasteful number, since it uses less digits than its factorization.

7641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 7641216 is about 2764.2749501452. The cubic root of 7641216 is about 196.9642887504.

The spelling of 7641216 in words is "seven million, six hundred forty-one thousand, two hundred sixteen".