69536 has 24 divisors (see below), whose sum is σ = 142884. Its totient is φ = 33280.

The previous prime is 69499. The next prime is 69539. The reversal of 69536 is 63596.

It can be written as a sum of positive squares in 2 ways, for example, as 67600 + 1936 = 260^2 + 44^2 .

It is a junction number, because it is equal to n+sod(n) for n = 69499 and 69508.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69536.

It is not an unprimeable number, because it can be changed into a prime (69539) 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 3 ways as a sum of consecutive naturals, for example, 1286 + ... + 1338.

2⁶⁹⁵³⁶ 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 69536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71442).

69536 is an abundant number, since it is smaller than the sum of its proper divisors (73348).

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

69536 is a wasteful number, since it uses less digits than its factorization.

69536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its digits is 4860, while the sum is 29.

The square root of 69536 is about 263.6967955816. The cubic root of 69536 is about 41.1215902729.

The spelling of 69536 in words is "sixty-nine thousand, five hundred thirty-six".