65132064 has 72 divisors (see below), whose sum is σ = 186666480. Its totient is φ = 21541248.

The previous prime is 65132059. The next prime is 65132101. The reversal of 65132064 is 46023156.

65132064 is a `hidden beast` number, since 651 + 3 + 2 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39219 + ... + 40845.

It is an arithmetic number, because the mean of its divisors is an integer number (2592590).

Almost surely, 2^65132064 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 65132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93333240).

65132064 is an abundant number, since it is smaller than the sum of its proper divisors (121534416).

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

65132064 is a wasteful number, since it uses less digits than its factorization.

65132064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 65132064 is about 8070.4438539649. The cubic root of 65132064 is about 402.3446958159.

The spelling of 65132064 in words is "sixty-five million, one hundred thirty-two thousand, sixty-four".