65248064 has 28 divisors (see below), whose sum is σ = 147974304. Its totient is φ = 27963264.

The previous prime is 65248063. The next prime is 65248093. The reversal of 65248064 is 46084256.

65248064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×65248064³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65248063) 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 3 ways as a sum of consecutive naturals, for example, 72374 + ... + 73269.

Almost surely, 2^65248064 is an apocalyptic number.

65248064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

65248064 is an abundant number, since it is smaller than the sum of its proper divisors (82726240).

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

65248064 is a wasteful number, since it uses less digits than its factorization.

65248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145662 (or 145652 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 65248064 is about 8077.6273744213. The cubic root of 65248064 is about 402.5834123644.

The spelling of 65248064 in words is "sixty-five million, two hundred forty-eight thousand, sixty-four".