65461004 has 48 divisors (see below), whose sum is σ = 142598400. Its totient is φ = 25655616.

The previous prime is 65461001. The next prime is 65461009. The reversal of 65461004 is 40016456.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (65461001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13307 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (2970800).

Almost surely, 2^65461004 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 65461004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71299200).

65461004 is an abundant number, since it is smaller than the sum of its proper divisors (77137396).

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

65461004 is a wasteful number, since it uses less digits than its factorization.

65461004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 65461004 is about 8090.7974885051. The cubic root of 65461004 is about 403.0208865120.

The spelling of 65461004 in words is "sixty-five million, four hundred sixty-one thousand, four".