66023100 has 432 divisors, whose sum is σ = 265399680. Its totient is φ = 13996800.

The previous prime is 66023093. The next prime is 66023117. The reversal of 66023100 is 132066.

It is a happy number.

66023100 is a `hidden beast` number, since 660 + 2 + 3 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×66023100² = 8718099467220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3474891 + ... + 3474909.

Almost surely, 2^66023100 is an apocalyptic number.

66023100 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 66023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132699840).

66023100 is an abundant number, since it is smaller than the sum of its proper divisors (199376580).

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

66023100 is a wasteful number, since it uses less digits than its factorization.

66023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66023100 is about 8125.4599869792. The cubic root of 66023100 is about 404.1711443630.

Adding to 66023100 its reverse (132066), we get a palindrome (66155166).

The spelling of 66023100 in words is "sixty-six million, twenty-three thousand, one hundred".