66629628 has 72 divisors (see below), whose sum is σ = 188134128. Its totient is φ = 20497536.

The previous prime is 66629623. The next prime is 66629653. The reversal of 66629628 is 82692666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66629621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10000 + ... + 15272.

It is an arithmetic number, because the mean of its divisors is an integer number (2612974).

Almost surely, 2^66629628 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 66629628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94067064).

66629628 is an abundant number, since it is smaller than the sum of its proper divisors (121504500).

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

66629628 is a wasteful number, since it uses less digits than its factorization.

66629628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5291 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 66629628 is about 8162.6973483034. The cubic root of 66629628 is about 405.4050269099.

It can be divided in two parts, 6662 and 9628, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 66629628 in words is "sixty-six million, six hundred twenty-nine thousand, six hundred twenty-eight".