65513664 has 112 divisors (see below), whose sum is σ = 198973440. Its totient is φ = 21116160.

The previous prime is 65513641. The next prime is 65513689. The reversal of 65513664 is 46631556.

65513664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 52957 + ... + 54179.

Almost surely, 2^65513664 is an apocalyptic number.

65513664 is a gapful number since it is divisible by the number (64) 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 65513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99486720).

65513664 is an abundant number, since it is smaller than the sum of its proper divisors (133459776).

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

65513664 is a wasteful number, since it uses less digits than its factorization.

65513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1259 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 65513664 is about 8094.0511488376. The cubic root of 65513664 is about 403.1289273820.

The spelling of 65513664 in words is "sixty-five million, five hundred thirteen thousand, six hundred sixty-four".