66252800 has 78 divisors (see below), whose sum is σ = 164540808. Its totient is φ = 26460160.

The previous prime is 66252799. The next prime is 66252827. The reversal of 66252800 is 825266.

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 5 ways as a sum of consecutive naturals, for example, 102077 + ... + 102723.

Almost surely, 2^66252800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82270404).

66252800 is an abundant number, since it is smaller than the sum of its proper divisors (98288008).

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

66252800 is an equidigital number, since it uses as much as digits as its factorization.

66252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 66252800 is about 8139.5822988652. The cubic root of 66252800 is about 404.6393171468.

The spelling of 66252800 in words is "sixty-six million, two hundred fifty-two thousand, eight hundred".