65971968 has 144 divisors (see below), whose sum is σ = 193084416. Its totient is φ = 19906560.

The previous prime is 65971957. The next prime is 65971979. The reversal of 65971968 is 86917956.

65971968 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 (65971957) and next prime (65971979).

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (816480) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 65971968.

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 15 ways as a sum of consecutive naturals, for example, 404655 + ... + 404817.

It is an arithmetic number, because the mean of its divisors is an integer number (1340864).

Almost surely, 2^65971968 is an apocalyptic number.

65971968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96542208).

65971968 is an abundant number, since it is smaller than the sum of its proper divisors (127112448).

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

65971968 is a wasteful number, since it uses less digits than its factorization.

65971968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 65971968 is about 8122.3129710693. The cubic root of 65971968 is about 404.0667797984.

It can be divided in two parts, 659 and 71968, that added together give a palindrome (72627).

The spelling of 65971968 in words is "sixty-five million, nine hundred seventy-one thousand, nine hundred sixty-eight".