65384064 has 64 divisors (see below), whose sum is σ = 192984000. Its totient is φ = 21793536.

The previous prime is 65384051. The next prime is 65384083. The reversal of 65384064 is 46048356.

65384064 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 6004 + ... + 12915.

It is an arithmetic number, because the mean of its divisors is an integer number (3015375).

Almost surely, 2^65384064 is an apocalyptic number.

65384064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

65384064 is an abundant number, since it is smaller than the sum of its proper divisors (127599936).

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

65384064 is a wasteful number, since it uses less digits than its factorization.

65384064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18942 (or 18924 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 65384064 is about 8086.0413058554. The cubic root of 65384064 is about 402.8629269040.

The spelling of 65384064 in words is "sixty-five million, three hundred eighty-four thousand, sixty-four".