636542016 has 112 divisors (see below), whose sum is σ = 1945477440. Its totient is φ = 181534720.

The previous prime is 636541991. The next prime is 636542017. The reversal of 636542016 is 610245636.

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

It is not an unprimeable number, because it can be changed into a prime (636542017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27040 + ... + 44768.

Almost surely, 2^636542016 is an apocalyptic number.

636542016 is a gapful number since it is divisible by the number (66) 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 636542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972738720).

636542016 is an abundant number, since it is smaller than the sum of its proper divisors (1308935424).

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

636542016 is a wasteful number, since it uses less digits than its factorization.

636542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17772 (or 17762 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 636542016 is about 25229.7843034775. The cubic root of 636542016 is about 860.2189887610.

The spelling of 636542016 in words is "six hundred thirty-six million, five hundred forty-two thousand, sixteen".