65393968 has 40 divisors (see below), whose sum is σ = 139999968. Its totient is φ = 29432832.

The previous prime is 65393963. The next prime is 65393971. The reversal of 65393968 is 86939356.

It is not an unprimeable number, because it can be changed into a prime (65393963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1030 + ... + 11482.

Almost surely, 2^65393968 is an apocalyptic number.

65393968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65393968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69999984).

65393968 is an abundant number, since it is smaller than the sum of its proper divisors (74606000).

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

65393968 is a wasteful number, since it uses less digits than its factorization.

65393968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10501 (or 10495 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 49.

The square root of 65393968 is about 8086.6536960599. The cubic root of 65393968 is about 402.8832669927.

The spelling of 65393968 in words is "sixty-five million, three hundred ninety-three thousand, nine hundred sixty-eight".