66811200 has 168 divisors, whose sum is σ = 226771200. Its totient is φ = 17203200.

The previous prime is 66811183. The next prime is 66811211. The reversal of 66811200 is 211866.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148576 + ... + 149024.

Almost surely, 2^66811200 is an apocalyptic number.

66811200 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 66811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113385600).

66811200 is an abundant number, since it is smaller than the sum of its proper divisors (159960000).

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

66811200 is a wasteful number, since it uses less digits than its factorization.

66811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 66811200 is about 8173.8118402616. The cubic root of 66811200 is about 405.7729485082.

The spelling of 66811200 in words is "sixty-six million, eight hundred eleven thousand, two hundred".