7952616 has 96 divisors (see below), whose sum is σ = 25459200. Its totient is φ = 2194560.

The previous prime is 7952611. The next prime is 7952627. The reversal of 7952616 is 6162597.

7952616 = 209² + 210² + ... + 320².

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (7952611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15370 + ... + 15878.

It is an arithmetic number, because the mean of its divisors is an integer number (265200).

Almost surely, 2^7952616 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 7952616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729600).

7952616 is an abundant number, since it is smaller than the sum of its proper divisors (17506584).

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

7952616 is a wasteful number, since it uses less digits than its factorization.

7952616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 552 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 7952616 is about 2820.0382976123. The cubic root of 7952616 is about 199.6043511594.

The spelling of 7952616 in words is "seven million, nine hundred fifty-two thousand, six hundred sixteen".