36266208 has 96 divisors (see below), whose sum is σ = 105743232. Its totient is φ = 10790400.

The previous prime is 36266207. The next prime is 36266233. The reversal of 36266208 is 80266263.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36266207) 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, 64135 + ... + 64697.

It is an arithmetic number, because the mean of its divisors is an integer number (1101492).

Almost surely, 2^36266208 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 36266208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52871616).

36266208 is an abundant number, since it is smaller than the sum of its proper divisors (69477024).

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

36266208 is a wasteful number, since it uses less digits than its factorization.

36266208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 36266208 is about 6022.1431401122. The cubic root of 36266208 is about 331.0046153249.

The spelling of 36266208 in words is "thirty-six million, two hundred sixty-six thousand, two hundred eight".