66000420 has 120 divisors (see below), whose sum is σ = 209297088. Its totient is φ = 17409600.

The previous prime is 66000419. The next prime is 66000421. The reversal of 66000420 is 2400066.

66000420 is a `hidden beast` number, since 660 + 0 + 0 + 4 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66000419) and next prime (66000421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 66000393 and 66000402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66000421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212065 + ... + 212375.

Almost surely, 2^66000420 is an apocalyptic number.

66000420 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 66000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104648544).

66000420 is an abundant number, since it is smaller than the sum of its proper divisors (143296668).

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

66000420 is a wasteful number, since it uses less digits than its factorization.

66000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66000420 is about 8124.0642538079. The cubic root of 66000420 is about 404.1248592931.

Adding to 66000420 its reverse (2400066), we get a palindrome (68400486).

The spelling of 66000420 in words is "sixty-six million, four hundred twenty", and thus it is an aban number.