69664 has 24 divisors (see below), whose sum is σ = 157248. Its totient is φ = 29760.

The previous prime is 69661. The next prime is 69677. The reversal of 69664 is 46696.

69664 is nontrivially palindromic in base 5.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (69661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69 + ... + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁶⁹⁶⁶⁴ 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 69664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

69664 is an abundant number, since it is smaller than the sum of its proper divisors (87584).

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

69664 is a wasteful number, since it uses less digits than its factorization.

69664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 69664 is about 263.9393869812. The cubic root of 69664 is about 41.1468066461.

It can be divided in two parts, 696 and 64, that multiplied together give a palindrome (44544).

The spelling of 69664 in words is "sixty-nine thousand, six hundred sixty-four".