69966 has 36 divisors (see below), whose sum is σ = 171288. Its totient is φ = 20592.

The previous prime is 69959. The next prime is 69991. The reversal of 69966 is 66996.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 69966.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3031 + ... + 3053.

It is an arithmetic number, because the mean of its divisors is an integer number (4758).

2⁶⁹⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85644).

69966 is an abundant number, since it is smaller than the sum of its proper divisors (101322).

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

69966 is a wasteful number, since it uses less digits than its factorization.

69966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 69966 is about 264.5108693419. The cubic root of 69966 is about 41.2061793603.

It can be divided in two parts, 69 and 966, that added together give a triangular number (1035 = T₄₅).

The spelling of 69966 in words is "sixty-nine thousand, nine hundred sixty-six".