65461760 has 160 divisors (see below), whose sum is σ = 193862592. Its totient is φ = 20643840.

The previous prime is 65461733. The next prime is 65461763. The reversal of 65461760 is 6716456.

65461760 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 (160).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 65461760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65461763) 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, 232820 + ... + 233100.

Almost surely, 2^65461760 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 65461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96931296).

65461760 is an abundant number, since it is smaller than the sum of its proper divisors (128400832).

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

65461760 is a wasteful number, since it uses less digits than its factorization.

65461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 65461760 is about 8090.8442081157. The cubic root of 65461760 is about 403.0224379833.

The spelling of 65461760 in words is "sixty-five million, four hundred sixty-one thousand, seven hundred sixty".