65448100 has 27 divisors (see below), whose sum is σ = 142198147. Its totient is φ = 26146880.

The previous prime is 65448067. The next prime is 65448109. The reversal of 65448100 is 184456.

The square root of 65448100 is 8090.

It is a perfect power (a square), and thus also a powerful number.

65448100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5354596 + 60093504 = 2314^2 + 7752^2 .

It is a super-2 number, since 2×65448100² = 8566907587220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65448109) 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 8 ways as a sum of consecutive naturals, for example, 80496 + ... + 81304.

Almost surely, 2^65448100 is an apocalyptic number.

65448100 is the 8090-th square number.

It is an amenable number.

65448100 is an abundant number, since it is smaller than the sum of its proper divisors (76750047).

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

65448100 is an equidigital number, since it uses as much as digits as its factorization.

65448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 65448100 is about 402.9944029418.

The spelling of 65448100 in words is "sixty-five million, four hundred forty-eight thousand, one hundred".