66066000 has 480 divisors, whose sum is σ = 288148224. Its totient is φ = 12672000.

The previous prime is 66065977. The next prime is 66066043. The reversal of 66066000 is 66066.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5081994 + ... + 5082006.

Almost surely, 2^66066000 is an apocalyptic number.

66066000 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 66066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144074112).

66066000 is an abundant number, since it is smaller than the sum of its proper divisors (222082224).

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

66066000 is a wasteful number, since it uses less digits than its factorization.

66066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 66066000 is about 8128.0994088409. The cubic root of 66066000 is about 404.2586651852.

66066000 divided by its reverse (66066) gives a cube (1000 = 10³).

It can be divided in two parts, 660 and 66000, that multiplied together give a square (43560000 = 6600²).

The spelling of 66066000 in words is "sixty-six million, sixty-six thousand", and thus it is an eban number.