7961616 has 60 divisors (see below), whose sum is σ = 24001068. Its totient is φ = 2449152.

The previous prime is 7961567. The next prime is 7961617. The reversal of 7961616 is 6161697.

It can be written as a sum of positive squares in 2 ways, for example, as 992016 + 6969600 = 996^2 + 2640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7961617) 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 11 ways as a sum of consecutive naturals, for example, 255 + ... + 3998.

Almost surely, 2^7961616 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 7961616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12000534).

7961616 is an abundant number, since it is smaller than the sum of its proper divisors (16039452).

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

7961616 is a wasteful number, since it uses less digits than its factorization.

7961616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4271 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 7961616 is about 2821.6335694062. The cubic root of 7961616 is about 199.6796203919.

The spelling of 7961616 in words is "seven million, nine hundred sixty-one thousand, six hundred sixteen".