65653664 has 48 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 30700800.

The previous prime is 65653649. The next prime is 65653667. The reversal of 65653664 is 46635656.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (65653667) 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, 49814 + ... + 51114.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 2^65653664 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 65653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840).

65653664 is an abundant number, since it is smaller than the sum of its proper divisors (72150016).

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

65653664 is a wasteful number, since it uses less digits than its factorization.

65653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1405 counting only the distinct ones).

The product of its digits is 388800, while the sum is 41.

The square root of 65653664 is about 8102.6948603536. The cubic root of 65653664 is about 403.4158797118.

The spelling of 65653664 in words is "sixty-five million, six hundred fifty-three thousand, six hundred sixty-four".