36648016 has 40 divisors (see below), whose sum is σ = 75530880. Its totient is φ = 17187456.

The previous prime is 36648013. The next prime is 36648023. The reversal of 36648016 is 61084663.

It is a super-3 number, since 3×36648016³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36648011) 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, 18565 + ... + 20443.

It is an arithmetic number, because the mean of its divisors is an integer number (1888272).

Almost surely, 2^36648016 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 36648016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37765440).

36648016 is an abundant number, since it is smaller than the sum of its proper divisors (38882864).

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

36648016 is a wasteful number, since it uses less digits than its factorization.

36648016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 36648016 is about 6053.7604841949. The cubic root of 36648016 is about 332.1621601013.

The spelling of 36648016 in words is "thirty-six million, six hundred forty-eight thousand, sixteen".