65971460 has 48 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 25132800.

The previous prime is 65971459. The next prime is 65971463. The reversal of 65971460 is 6417956.

65971460 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 (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (65971463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34325 + ... + 36195.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2^65971460 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 65971460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

65971460 is an abundant number, since it is smaller than the sum of its proper divisors (79325692).

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

65971460 is a wasteful number, since it uses less digits than its factorization.

65971460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 65971460 is about 8122.2816991286. The cubic root of 65971460 is about 404.0657426587.

The spelling of 65971460 in words is "sixty-five million, nine hundred seventy-one thousand, four hundred sixty".