67536 has 60 divisors (see below), whose sum is σ = 219232. Its totient is φ = 19008.

The previous prime is 67531. The next prime is 67537. The reversal of 67536 is 63576.

It is a super-2 number, since 2×67536² = 9122222592, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975 + ... + 1041.

2⁶⁷⁵³⁶ 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 67536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109616).

67536 is an abundant number, since it is smaller than the sum of its proper divisors (151696).

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

67536 is a wasteful number, since it uses less digits than its factorization.

67536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 67536 is about 259.8768939325. The cubic root of 67536 is about 40.7235014094.

The spelling of 67536 in words is "sixty-seven thousand, five hundred thirty-six".