65461312 has 56 divisors (see below), whose sum is σ = 154935936. Its totient is φ = 26830848.

The previous prime is 65461301. The next prime is 65461313. The reversal of 65461312 is 21316456.

65461312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×65461312² = 8570366737522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (65461313) 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 7 ways as a sum of consecutive naturals, for example, 7128 + ... + 13480.

Almost surely, 2^65461312 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 65461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77467968).

65461312 is an abundant number, since it is smaller than the sum of its proper divisors (89474624).

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

65461312 is a wasteful number, since it uses less digits than its factorization.

65461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6385 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 65461312 is about 8090.8165224531. The cubic root of 65461312 is about 403.0215185943.

Adding to 65461312 its reverse (21316456), we get a palindrome (86777768).

The spelling of 65461312 in words is "sixty-five million, four hundred sixty-one thousand, three hundred twelve".