36116416 has 56 divisors (see below), whose sum is σ = 86238080. Its totient is φ = 14660352.

The previous prime is 36116393. The next prime is 36116419. The reversal of 36116416 is 61461163.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36116419) 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 7 ways as a sum of consecutive naturals, for example, 6391 + ... + 10633.

Almost surely, 2^36116416 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 36116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43119040).

36116416 is an abundant number, since it is smaller than the sum of its proper divisors (50121664).

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

36116416 is a wasteful number, since it uses less digits than its factorization.

36116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4271 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 36116416 is about 6009.6935030000. The cubic root of 36116416 is about 330.5482652170.

Adding to 36116416 its reverse (61461163), we get a palindrome (97577579).

The spelling of 36116416 in words is "thirty-six million, one hundred sixteen thousand, four hundred sixteen".