65203968 has 72 divisors (see below), whose sum is σ = 176601600. Its totient is φ = 21351424.

The previous prime is 65203967. The next prime is 65204017. The reversal of 65203968 is 86930256.

65203968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65203967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 44593 + ... + 46031.

It is an arithmetic number, because the mean of its divisors is an integer number (2452800).

Almost surely, 2^65203968 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 65203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

65203968 is an abundant number, since it is smaller than the sum of its proper divisors (111397632).

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

65203968 is a wasteful number, since it uses less digits than its factorization.

65203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 65203968 is about 8074.8973987290. The cubic root of 65203968 is about 402.4927005093.

The spelling of 65203968 in words is "sixty-five million, two hundred three thousand, nine hundred sixty-eight".