65842960 has 60 divisors (see below), whose sum is σ = 156560292. Its totient is φ = 25752064.

The previous prime is 65842949. The next prime is 65842967. The reversal of 65842960 is 6924856.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11614464 + 54228496 = 3408^2 + 7364^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (65842967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224574 + ... + 224866.

Almost surely, 2^65842960 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 65842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78280146).

65842960 is an abundant number, since it is smaller than the sum of its proper divisors (90717332).

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

65842960 is a wasteful number, since it uses less digits than its factorization.

65842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 65842960 is about 8114.3675046180. The cubic root of 65842960 is about 403.8032241081.

The spelling of 65842960 in words is "sixty-five million, eight hundred forty-two thousand, nine hundred sixty".