69768 has 64 divisors (see below), whose sum is σ = 216000. Its totient is φ = 20736.

The previous prime is 69767. The next prime is 69779. The reversal of 69768 is 86796.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69768.

It is not an unprimeable number, because it can be changed into a prime (69761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3663 + ... + 3681.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

2⁶⁹⁷⁶⁸ is an apocalyptic number.

69768 is a gapful number since it is divisible by the number (68) 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 69768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

69768 is an abundant number, since it is smaller than the sum of its proper divisors (146232).

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

69768 is a wasteful number, since it uses less digits than its factorization.

69768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 41 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 69768 is about 264.1363284367. The cubic root of 69768 is about 41.1672722150.

The spelling of 69768 in words is "sixty-nine thousand, seven hundred sixty-eight".