65353064 has 48 divisors (see below), whose sum is σ = 143280900. Its totient is φ = 27863808.

The previous prime is 65353009. The next prime is 65353091. The reversal of 65353064 is 46035356.

It can be written as a sum of positive squares in 2 ways, for example, as 64802500 + 550564 = 8050^2 + 742^2 .

It is a super-3 number, since 3×65353064³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65353064.

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, 114572 + ... + 115140.

Almost surely, 2^65353064 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 65353064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71640450).

65353064 is an abundant number, since it is smaller than the sum of its proper divisors (77927836).

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

65353064 is a wasteful number, since it uses less digits than its factorization.

65353064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 65353064 is about 8084.1241949886. The cubic root of 65353064 is about 402.7992481612.

The spelling of 65353064 in words is "sixty-five million, three hundred fifty-three thousand, sixty-four".