66002820 has 96 divisors (see below), whose sum is σ = 204492288. Its totient is φ = 15800832.

The previous prime is 66002819. The next prime is 66002821. The reversal of 66002820 is 2820066.

It is an interprime number because it is at equal distance from previous prime (66002819) and next prime (66002821).

It is not an unprimeable number, because it can be changed into a prime (66002821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27717 + ... + 30003.

It is an arithmetic number, because the mean of its divisors is an integer number (2130128).

Almost surely, 2^66002820 is an apocalyptic number.

66002820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66002820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102246144).

66002820 is an abundant number, since it is smaller than the sum of its proper divisors (138489468).

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

66002820 is a wasteful number, since it uses less digits than its factorization.

66002820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 66002820 is about 8124.2119617844. The cubic root of 66002820 is about 404.1297576857.

Adding to 66002820 its reverse (2820066), we get a palindrome (68822886).

The spelling of 66002820 in words is "sixty-six million, two thousand, eight hundred twenty".