65958560 has 48 divisors (see below), whose sum is σ = 159467616. Its totient is φ = 25767168.

The previous prime is 65958551. The next prime is 65958569. The reversal of 65958560 is 6585956.

It is an interprime number because it is at equal distance from previous prime (65958551) and next prime (65958569).

It is not an unprimeable number, because it can be changed into a prime (65958569) 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, 2087 + ... + 11673.

It is an arithmetic number, because the mean of its divisors is an integer number (3322242).

Almost surely, 2^65958560 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 65958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79733808).

65958560 is an abundant number, since it is smaller than the sum of its proper divisors (93509056).

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

65958560 is a wasteful number, since it uses less digits than its factorization.

65958560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9645 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 44.

The square root of 65958560 is about 8121.4875484729. The cubic root of 65958560 is about 404.0394040578.

The spelling of 65958560 in words is "sixty-five million, nine hundred fifty-eight thousand, five hundred sixty".