36111216 has 80 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 11641344.

The previous prime is 36111211. The next prime is 36111221. The reversal of 36111216 is 61211163.

It is an interprime number because it is at equal distance from previous prime (36111211) and next prime (36111221).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36111192 and 36111201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36111211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337435 + ... + 337541.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2^36111216 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 36111216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

36111216 is an abundant number, since it is smaller than the sum of its proper divisors (60311184).

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

36111216 is a wasteful number, since it uses less digits than its factorization.

36111216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 36111216 is about 6009.2608530501. The cubic root of 36111216 is about 330.5324004693.

Adding to 36111216 its reverse (61211163), we get a palindrome (97322379).

The spelling of 36111216 in words is "thirty-six million, one hundred eleven thousand, two hundred sixteen".