65976768 has 280 divisors, whose sum is σ = 232349040. Its totient is φ = 18247680.

The previous prime is 65976763. The next prime is 65976793. The reversal of 65976768 is 86767956.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65976761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741268 + ... + 741356.

It is an arithmetic number, because the mean of its divisors is an integer number (829818).

Almost surely, 2^65976768 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 65976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116174520).

65976768 is an abundant number, since it is smaller than the sum of its proper divisors (166372272).

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

65976768 is a wasteful number, since it uses less digits than its factorization.

65976768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 65976768 is about 8122.6084480295. The cubic root of 65976768 is about 404.0765792813.

The spelling of 65976768 in words is "sixty-five million, nine hundred seventy-six thousand, seven hundred sixty-eight".