66801006 has 36 divisors (see below), whose sum is σ = 148342896. Its totient is φ = 21715680.

The previous prime is 66800999. The next prime is 66801019. The reversal of 66801006 is 60010866.

It is a super-2 number, since 2×66801006² = 8924748805224072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 237586 + ... + 237866.

It is an arithmetic number, because the mean of its divisors is an integer number (4120636).

Almost surely, 2^66801006 is an apocalyptic number.

66801006 is an abundant number, since it is smaller than the sum of its proper divisors (81541890).

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

66801006 is a wasteful number, since it uses less digits than its factorization.

66801006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66801006 is about 8173.1882396039. The cubic root of 66801006 is about 405.7523099534.

The spelling of 66801006 in words is "sixty-six million, eight hundred one thousand, six".