66657006 has 80 divisors (see below), whose sum is σ = 166201728. Its totient is φ = 19828800.

The previous prime is 66656999. The next prime is 66657023. The reversal of 66657006 is 60075666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64776 + ... + 65796.

Almost surely, 2^66657006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66657006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83100864).

66657006 is an abundant number, since it is smaller than the sum of its proper divisors (99544722).

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

66657006 is a wasteful number, since it uses less digits than its factorization.

66657006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 66657006 is about 8164.3741952461. The cubic root of 66657006 is about 405.4605460501.

The spelling of 66657006 in words is "sixty-six million, six hundred fifty-seven thousand, six".