36450216 has 192 divisors, whose sum is σ = 119448000. Its totient is φ = 10200960.

The previous prime is 36450199. The next prime is 36450229. The reversal of 36450216 is 61205463.

36450216 is a `hidden beast` number, since 3 + 645 + 0 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 36450216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256890 + ... + 1256918.

It is an arithmetic number, because the mean of its divisors is an integer number (622125).

Almost surely, 2^36450216 is an apocalyptic number.

36450216 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 36450216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59724000).

36450216 is an abundant number, since it is smaller than the sum of its proper divisors (82997784).

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

36450216 is a wasteful number, since it uses less digits than its factorization.

36450216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36450216 is about 6037.4014277668. The cubic root of 36450216 is about 331.5634898153.

Adding to 36450216 its reverse (61205463), we get a palindrome (97655679).

The spelling of 36450216 in words is "thirty-six million, four hundred fifty thousand, two hundred sixteen".