36786016 has 48 divisors (see below), whose sum is σ = 76301568. Its totient is φ = 17424000.

The previous prime is 36785981. The next prime is 36786017. The reversal of 36786016 is 61068763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36786017) by changing a digit.

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, 110971 + ... + 111301.

It is an arithmetic number, because the mean of its divisors is an integer number (1589616).

Almost surely, 2^36786016 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 36786016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38150784).

36786016 is an abundant number, since it is smaller than the sum of its proper divisors (39515552).

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

36786016 is a wasteful number, since it uses less digits than its factorization.

36786016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 36786016 is about 6065.1476486562. The cubic root of 36786016 is about 332.5785624750.

The spelling of 36786016 in words is "thirty-six million, seven hundred eighty-six thousand, sixteen".