66242952 has 48 divisors (see below), whose sum is σ = 180726000. Its totient is φ = 21918816.

The previous prime is 66242941. The next prime is 66242963. The reversal of 66242952 is 25924266.

66242952 is a `hidden beast` number, since 6 + 624 + 29 + 5 + 2 = 666.

66242952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66242941) and next prime (66242963).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 6699 + ... + 13317.

It is an arithmetic number, because the mean of its divisors is an integer number (3765125).

Almost surely, 2^66242952 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 66242952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90363000).

66242952 is an abundant number, since it is smaller than the sum of its proper divisors (114483048).

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

66242952 is a wasteful number, since it uses less digits than its factorization.

66242952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770 (or 6763 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66242952 is about 8138.9773313359. The cubic root of 66242952 is about 404.6192672497.

The spelling of 66242952 in words is "sixty-six million, two hundred forty-two thousand, nine hundred fifty-two".