65087136 has 72 divisors (see below), whose sum is σ = 191498580. Its totient is φ = 20944896.

The previous prime is 65087123. The next prime is 65087153. The reversal of 65087136 is 63178056.

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 6656400 = 7644^2 + 2580^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65087136.

It is an unprimeable number.

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, 4456 + ... + 12248.

Almost surely, 2^65087136 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 65087136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95749290).

65087136 is an abundant number, since it is smaller than the sum of its proper divisors (126411444).

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

65087136 is a wasteful number, since it uses less digits than its factorization.

65087136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 65087136 is about 8067.6598837581. The cubic root of 65087136 is about 402.2521622804.

The spelling of 65087136 in words is "sixty-five million, eighty-seven thousand, one hundred thirty-six".