66820284 has 18 divisors (see below), whose sum is σ = 168906920. Its totient is φ = 22273416.

The previous prime is 66820279. The next prime is 66820289. The reversal of 66820284 is 48202866.

It is an interprime number because it is at equal distance from previous prime (66820279) and next prime (66820289).

It is a tau number, because it is divible by the number of its divisors (18).

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 Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1856119 = 66820284 / (6 + 6 + 8 + 2 + 0 + 2 + 8 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66820289) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 928024 + ... + 928095.

Almost surely, 2^66820284 is an apocalyptic number.

It is an amenable number.

66820284 is an abundant number, since it is smaller than the sum of its proper divisors (102086636).

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

66820284 is a wasteful number, since it uses less digits than its factorization.

66820284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856129 (or 1856124 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66820284 is about 8174.3674984674. The cubic root of 66820284 is about 405.7913380119.

The spelling of 66820284 in words is "sixty-six million, eight hundred twenty thousand, two hundred eighty-four".