66525000 has 96 divisors (see below), whose sum is σ = 208111680. Its totient is φ = 17720000.

The previous prime is 66524987. The next prime is 66525007. The reversal of 66525000 is 52566.

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

It is not an unprimeable number, because it can be changed into a prime (66525007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74557 + ... + 75443.

It is an arithmetic number, because the mean of its divisors is an integer number (2167830).

Almost surely, 2^66525000 is an apocalyptic number.

66525000 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 66525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104055840).

66525000 is an abundant number, since it is smaller than the sum of its proper divisors (141586680).

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

66525000 is an equidigital number, since it uses as much as digits as its factorization.

66525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 66525000 is about 8156.2859194611. The cubic root of 66525000 is about 405.1927142594.

Adding to 66525000 its reverse (52566), we get a palindrome (66577566).

The spelling of 66525000 in words is "sixty-six million, five hundred twenty-five thousand".