66252116 has 36 divisors (see below), whose sum is σ = 135792468. Its totient is φ = 28199808.

The previous prime is 66252097. The next prime is 66252133. The reversal of 66252116 is 61125266.

It can be written as a sum of positive squares in 2 ways, for example, as 11195716 + 55056400 = 3346^2 + 7420^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29696 + ... + 31848.

It is an arithmetic number, because the mean of its divisors is an integer number (3772013).

Almost surely, 2^66252116 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 66252116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67896234).

66252116 is an abundant number, since it is smaller than the sum of its proper divisors (69540352).

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

66252116 is a wasteful number, since it uses less digits than its factorization.

66252116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2319 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 66252116 is about 8139.5402818587. The cubic root of 66252116 is about 404.6379246308.

The spelling of 66252116 in words is "sixty-six million, two hundred fifty-two thousand, one hundred sixteen".