65312256 has 80 divisors (see below), whose sum is σ = 176136048. Its totient is φ = 21504000.

The previous prime is 65312251. The next prime is 65312279. The reversal of 65312256 is 65221356.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65312251) 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, 154926 + ... + 155346.

Almost surely, 2^65312256 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 65312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88068024).

65312256 is an abundant number, since it is smaller than the sum of its proper divisors (110823792).

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

65312256 is a wasteful number, since it uses less digits than its factorization.

65312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 65312256 is about 8081.5998416155. The cubic root of 65312256 is about 402.7153915766.

The spelling of 65312256 in words is "sixty-five million, three hundred twelve thousand, two hundred fifty-six".