65286400 has 81 divisors (see below), whose sum is σ = 163209823. Its totient is φ = 25856000.

The previous prime is 65286379. The next prime is 65286401. The reversal of 65286400 is 468256.

The square root of 65286400 is 8080.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12054784 + 53231616 = 3472^2 + 7296^2 .

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (65286401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 646350 + ... + 646450.

Almost surely, 2^65286400 is an apocalyptic number.

65286400 is the 8080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65286400

65286400 is an abundant number, since it is smaller than the sum of its proper divisors (97923423).

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

65286400 is an equidigital number, since it uses as much as digits as its factorization.

65286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The cubic root of 65286400 is about 402.6622418608.

The spelling of 65286400 in words is "sixty-five million, two hundred eighty-six thousand, four hundred".