66122628 has 144 divisors (see below), whose sum is σ = 190192128. Its totient is φ = 17740800.

The previous prime is 66122611. The next prime is 66122647. The reversal of 66122628 is 82622166.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585100 + ... + 585212.

Almost surely, 2^66122628 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 66122628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95096064).

66122628 is an abundant number, since it is smaller than the sum of its proper divisors (124069500).

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

66122628 is a wasteful number, since it uses less digits than its factorization.

66122628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 66122628 is about 8131.5821338778. The cubic root of 66122628 is about 404.3741346759.

The spelling of 66122628 in words is "sixty-six million, one hundred twenty-two thousand, six hundred twenty-eight".