36863616 has 64 divisors (see below), whose sum is σ = 103697280. Its totient is φ = 11563008.

The previous prime is 36863609. The next prime is 36863621. The reversal of 36863616 is 61636863.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3705 + ... + 9351.

It is an arithmetic number, because the mean of its divisors is an integer number (1620270).

Almost surely, 2^36863616 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 36863616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51848640).

36863616 is an abundant number, since it is smaller than the sum of its proper divisors (66833664).

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

36863616 is a wasteful number, since it uses less digits than its factorization.

36863616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5681 (or 5669 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 36863616 is about 6071.5414846643. The cubic root of 36863616 is about 332.8122560822.

The spelling of 36863616 in words is "thirty-six million, eight hundred sixty-three thousand, six hundred sixteen".