65981952 has 200 divisors, whose sum is σ = 206965176. Its totient is φ = 20901888.

The previous prime is 65981899. The next prime is 65981953. The reversal of 65981952 is 25918956.

65981952 is a `hidden beast` number, since 6 + 598 + 1 + 9 + 52 = 666.

65981952 is nontrivially palindromic in base 11.

65981952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65981898 and 65981907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65981953) 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 19 ways as a sum of consecutive naturals, for example, 1534443 + ... + 1534485.

Almost surely, 2^65981952 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 65981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103482588).

65981952 is an abundant number, since it is smaller than the sum of its proper divisors (140983224).

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

65981952 is an equidigital number, since it uses as much as digits as its factorization.

65981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 65981952 is about 8122.9275510742. The cubic root of 65981952 is about 404.0871621889.

The spelling of 65981952 in words is "sixty-five million, nine hundred eighty-one thousand, nine hundred fifty-two".