66646305 has 24 divisors (see below), whose sum is σ = 126023040. Its totient is φ = 32313120.

The previous prime is 66646297. The next prime is 66646313. The reversal of 66646305 is 50364666.

It is an interprime number because it is at equal distance from previous prime (66646297) and next prime (66646313).

It is not a de Polignac number, because 66646305 - 2³ = 66646297 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66646305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66825 + ... + 67814.

It is an arithmetic number, because the mean of its divisors is an integer number (5250960).

Almost surely, 2^66646305 is an apocalyptic number.

It is an amenable number.

66646305 is a deficient number, since it is larger than the sum of its proper divisors (59376735).

66646305 is a wasteful number, since it uses less digits than its factorization.

66646305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134661 (or 134658 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 66646305 is about 8163.7188217135. The cubic root of 66646305 is about 405.4388475782.

It can be divided in two parts, 666 and 46305, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 66646305 in words is "sixty-six million, six hundred forty-six thousand, three hundred five".