36519216 has 80 divisors (see below), whose sum is σ = 103683840. Its totient is φ = 11024640.

The previous prime is 36519211. The next prime is 36519313. The reversal of 36519216 is 61291563.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (36519211) 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, 20106 + ... + 21846.

It is an arithmetic number, because the mean of its divisors is an integer number (1296048).

Almost surely, 2^36519216 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 36519216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51841920).

36519216 is an abundant number, since it is smaller than the sum of its proper divisors (67164624).

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

36519216 is a wasteful number, since it uses less digits than its factorization.

36519216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1788 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 36519216 is about 6043.1131050147. The cubic root of 36519216 is about 331.7725737164.

The spelling of 36519216 in words is "thirty-six million, five hundred nineteen thousand, two hundred sixteen".