66087252 has 144 divisors (see below), whose sum is σ = 216233472. Its totient is φ = 17146080.

The previous prime is 66087247. The next prime is 66087269. The reversal of 66087252 is 25278066.

66087252 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 (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 74403 + ... + 75285.

Almost surely, 2^66087252 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 66087252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108116736).

66087252 is an abundant number, since it is smaller than the sum of its proper divisors (150146220).

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

66087252 is a wasteful number, since it uses less digits than its factorization.

66087252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66087252 is about 8129.4066204121. The cubic root of 66087252 is about 404.3020076210.

The spelling of 66087252 in words is "sixty-six million, eighty-seven thousand, two hundred fifty-two".