66265000 has 80 divisors (see below), whose sum is σ = 160964100. Its totient is φ = 25536000.

The previous prime is 66264937. The next prime is 66265007. The reversal of 66265000 is 56266.

It can be written as a sum of positive squares in 10 ways, for example, as 298116 + 65966884 = 546^2 + 8122^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (66265007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144772 + ... + 145228.

Almost surely, 2^66265000 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 66265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80482050).

66265000 is an abundant number, since it is smaller than the sum of its proper divisors (94699100).

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

66265000 is a wasteful number, since it uses less digits than its factorization.

66265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 66265000 is about 8140.3316885739. The cubic root of 66265000 is about 404.6641528100.

The spelling of 66265000 in words is "sixty-six million, two hundred sixty-five thousand".