36200016 has 120 divisors (see below), whose sum is σ = 108519840. Its totient is φ = 11232000.

The previous prime is 36199993. The next prime is 36200029. The reversal of 36200016 is 61000263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276271 + ... + 276401.

It is an arithmetic number, because the mean of its divisors is an integer number (904332).

Almost surely, 2^36200016 is an apocalyptic number.

36200016 is a gapful number since it is divisible by the number (36) 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 36200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54259920).

36200016 is an abundant number, since it is smaller than the sum of its proper divisors (72319824).

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

36200016 is a wasteful number, since it uses less digits than its factorization.

36200016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 36200016 is about 6016.6449122414. The cubic root of 36200016 is about 330.8031127695.

Adding to 36200016 its reverse (61000263), we get a palindrome (97200279).

The spelling of 36200016 in words is "thirty-six million, two hundred thousand, sixteen".