65663136 has 360 divisors, whose sum is σ = 250278336. Its totient is φ = 16692480.

The previous prime is 65663119. The next prime is 65663159. The reversal of 65663136 is 63136656.

It is a happy number.

65663136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 65663136.

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 59 ways as a sum of consecutive naturals, for example, 1397065 + ... + 1397111.

Almost surely, 2^65663136 is an apocalyptic number.

65663136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65663136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168).

65663136 is an abundant number, since it is smaller than the sum of its proper divisors (184615200).

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

65663136 is a wasteful number, since it uses less digits than its factorization.

65663136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 65663136 is about 8103.2793361700. The cubic root of 65663136 is about 403.4352793474.

The spelling of 65663136 in words is "sixty-five million, six hundred sixty-three thousand, one hundred thirty-six".