66010252 has 72 divisors (see below), whose sum is σ = 155303568. Its totient is φ = 24192000.

The previous prime is 66010229. The next prime is 66010261. The reversal of 66010252 is 25201066.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35752 + ... + 37552.

It is an arithmetic number, because the mean of its divisors is an integer number (2156994).

Almost surely, 2^66010252 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 66010252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77651784).

66010252 is an abundant number, since it is smaller than the sum of its proper divisors (89293316).

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

66010252 is a wasteful number, since it uses less digits than its factorization.

66010252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 66010252 is about 8124.6693471181. The cubic root of 66010252 is about 404.1449256217.

The spelling of 66010252 in words is "sixty-six million, ten thousand, two hundred fifty-two".