65352960 has 288 divisors, whose sum is σ = 243317760. Its totient is φ = 16588800.

The previous prime is 65352953. The next prime is 65353003. The reversal of 65352960 is 6925356.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071330 + ... + 1071390.

Almost surely, 2^65352960 is an apocalyptic number.

65352960 is a gapful number since it is divisible by the number (60) 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 65352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121658880).

65352960 is an abundant number, since it is smaller than the sum of its proper divisors (177964800).

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

65352960 is a wasteful number, since it uses less digits than its factorization.

65352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 65352960 is about 8084.1177626257. The cubic root of 65352960 is about 402.7990344954.

The spelling of 65352960 in words is "sixty-five million, three hundred fifty-two thousand, nine hundred sixty".