65129064 has 128 divisors (see below), whose sum is σ = 218695680. Its totient is φ = 15609600.

The previous prime is 65129059. The next prime is 65129087. The reversal of 65129064 is 46092156.

65129064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 22669 + ... + 25379.

It is an arithmetic number, because the mean of its divisors is an integer number (1708560).

Almost surely, 2^65129064 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 65129064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109347840).

65129064 is an abundant number, since it is smaller than the sum of its proper divisors (153566616).

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

65129064 is a wasteful number, since it uses less digits than its factorization.

65129064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 65129064 is about 8070.2579884413. The cubic root of 65129064 is about 402.3385183536.

It can be divided in two parts, 6512 and 9064, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 65129064 in words is "sixty-five million, one hundred twenty-nine thousand, sixty-four".