66313952 has 48 divisors (see below), whose sum is σ = 142203600. Its totient is φ = 30320640.

The previous prime is 66313927. The next prime is 66313963. The reversal of 66313952 is 25931366.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15752 + ... + 19512.

It is an arithmetic number, because the mean of its divisors is an integer number (2962575).

Almost surely, 2^66313952 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 66313952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71101800).

66313952 is an abundant number, since it is smaller than the sum of its proper divisors (75889648).

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

66313952 is a wasteful number, since it uses less digits than its factorization.

66313952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3811 counting only the distinct ones).

The product of its digits is 29160, while the sum is 35.

The square root of 66313952 is about 8143.3378905704. The cubic root of 66313952 is about 404.7637742479.

The spelling of 66313952 in words is "sixty-six million, three hundred thirteen thousand, nine hundred fifty-two".