865536400 has 45 divisors (see below), whose sum is σ = 2080865793. Its totient is φ = 345979200.

The previous prime is 865536383. The next prime is 865536433. The reversal of 865536400 is 4635568.

The square root of 865536400 is 29420.

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

It can be written as a sum of positive squares in only one way, i.e., 311593104 + 553943296 = 17652^2 + 23536^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 865536400.

It is an unprimeable number.

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, 587665 + ... + 589135.

Almost surely, 2^865536400 is an apocalyptic number.

865536400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

865536400 is the 29420-th square number.

It is an amenable number.

865536400 is an abundant number, since it is smaller than the sum of its proper divisors (1215329393).

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

865536400 is an equidigital number, since it uses as much as digits as its factorization.

865536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The cubic root of 865536400 is about 953.0048531167.

The spelling of 865536400 in words is "eight hundred sixty-five million, five hundred thirty-six thousand, four hundred".