65263968 has 288 divisors, whose sum is σ = 242161920. Its totient is φ = 16796160.

The previous prime is 65263951. The next prime is 65263987. The reversal of 65263968 is 86936256.

It is a happy number.

65263968 is a `hidden beast` number, since 6 + 5 + 2 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598698 + ... + 598806.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^65263968 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 65263968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

65263968 is an abundant number, since it is smaller than the sum of its proper divisors (176897952).

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

65263968 is a wasteful number, since it uses less digits than its factorization.

65263968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 65263968 is about 8078.6117619304. The cubic root of 65263968 is about 402.6161191660.

It can be divided in two parts, 652 and 63968, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 65263968 in words is "sixty-five million, two hundred sixty-three thousand, nine hundred sixty-eight".