65086400 has 84 divisors (see below), whose sum is σ = 168661080. Its totient is φ = 24652800.

The previous prime is 65086379. The next prime is 65086403. The reversal of 65086400 is 468056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65086403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29330 + ... + 31470.

It is an arithmetic number, because the mean of its divisors is an integer number (2007870).

Almost surely, 2^65086400 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 65086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84330540).

65086400 is an abundant number, since it is smaller than the sum of its proper divisors (103574680).

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

65086400 is a wasteful number, since it uses less digits than its factorization.

65086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 65086400 is about 8067.6142694108. The cubic root of 65086400 is about 402.2506460632.

The spelling of 65086400 in words is "sixty-five million, eighty-six thousand, four hundred".