65830968 has 160 divisors (see below), whose sum is σ = 220239360. Its totient is φ = 17962560.

The previous prime is 65830939. The next prime is 65830969. The reversal of 65830968 is 86903856.

65830968 is a `hidden beast` number, since 6 + 583 + 0 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65830969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104013 + ... + 104643.

It is an arithmetic number, because the mean of its divisors is an integer number (1376496).

Almost surely, 2^65830968 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 65830968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110119680).

65830968 is an abundant number, since it is smaller than the sum of its proper divisors (154408392).

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

65830968 is a wasteful number, since it uses less digits than its factorization.

65830968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 65830968 is about 8113.6285347556. The cubic root of 65830968 is about 403.7787076815.

It can be divided in two parts, 658 and 30968, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 65830968 in words is "sixty-five million, eight hundred thirty thousand, nine hundred sixty-eight".