65011968 has 216 divisors, whose sum is σ = 223204800. Its totient is φ = 17805312.

The previous prime is 65011963. The next prime is 65011981. The reversal of 65011968 is 86911056.

It is a Cunningham number, because it is equal to 8063²-1.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65011963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467643 + ... + 467781.

Almost surely, 2^65011968 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 65011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111602400).

65011968 is an abundant number, since it is smaller than the sum of its proper divisors (158192832).

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

65011968 is a wasteful number, since it uses less digits than its factorization.

65011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 65011968 is about 8062.9999379883. Note that the first 4 decimals coincide. The cubic root of 65011968 is about 402.0972512911.

The spelling of 65011968 in words is "sixty-five million, eleven thousand, nine hundred sixty-eight".