66628516 has 48 divisors (see below), whose sum is σ = 130959360. Its totient is φ = 29509920.

The previous prime is 66628481. The next prime is 66628519. The reversal of 66628516 is 61582666.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66628519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81751 + ... + 82561.

It is an arithmetic number, because the mean of its divisors is an integer number (2728320).

Almost surely, 2^66628516 is an apocalyptic number.

66628516 is the 5163-rd centered pentagonal number.

It is an amenable number.

66628516 is a deficient number, since it is larger than the sum of its proper divisors (64330844).

66628516 is a wasteful number, since it uses less digits than its factorization.

66628516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 66628516 is about 8162.6292332802. The cubic root of 66628516 is about 405.4027715924.

The spelling of 66628516 in words is "sixty-six million, six hundred twenty-eight thousand, five hundred sixteen".