66525800 has 72 divisors (see below), whose sum is σ = 170073750. Its totient is φ = 24182400.

The previous prime is 66525763. The next prime is 66525827. The reversal of 66525800 is 852566.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35545444 + 30980356 = 5962^2 + 5566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22826 + ... + 25574.

Almost surely, 2^66525800 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 66525800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85036875).

66525800 is an abundant number, since it is smaller than the sum of its proper divisors (103547950).

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

66525800 is a wasteful number, since it uses less digits than its factorization.

66525800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 66525800 is about 8156.3349612433. The cubic root of 66525800 is about 405.1943384753.

The spelling of 66525800 in words is "sixty-six million, five hundred twenty-five thousand, eight hundred".