66258712 has 64 divisors (see below), whose sum is σ = 140001120. Its totient is φ = 29196288.

The previous prime is 66258701. The next prime is 66258713. The reversal of 66258712 is 21785266.

It is a happy number.

66258712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66258713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257688 + ... + 257944.

Almost surely, 2^66258712 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 66258712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70000560).

66258712 is an abundant number, since it is smaller than the sum of its proper divisors (73742408).

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

66258712 is a wasteful number, since it uses less digits than its factorization.

66258712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 66258712 is about 8139.9454543627. The cubic root of 66258712 is about 404.6513526456.

The spelling of 66258712 in words is "sixty-six million, two hundred fifty-eight thousand, seven hundred twelve".