65257220 has 72 divisors (see below), whose sum is σ = 168834456. Its totient is φ = 21052416.

The previous prime is 65257147. The next prime is 65257223. The reversal of 65257220 is 2275256.

It can be written as a sum of positive squares in 4 ways, for example, as 23059204 + 42198016 = 4802^2 + 6496^2 .

It is not an unprimeable number, because it can be changed into a prime (65257223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14702 + ... + 18618.

It is an arithmetic number, because the mean of its divisors is an integer number (2344923).

Almost surely, 2^65257220 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 65257220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84417228).

65257220 is an abundant number, since it is smaller than the sum of its proper divisors (103577236).

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

65257220 is a wasteful number, since it uses less digits than its factorization.

65257220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 65257220 is about 8078.1941051203. The cubic root of 65257220 is about 402.6022424573.

The spelling of 65257220 in words is "sixty-five million, two hundred fifty-seven thousand, two hundred twenty".