69864 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 22400.

The previous prime is 69859. The next prime is 69877. The reversal of 69864 is 46896.

69864 is nontrivially palindromic in base 13.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69864.

It is an unprimeable number.

69864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁶⁹⁸⁶⁴ 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 69864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

69864 is an abundant number, since it is smaller than the sum of its proper divisors (111576).

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

69864 is a wasteful number, since it uses less digits than its factorization.

69864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 69864 is about 264.3179903071. The cubic root of 69864 is about 41.1861454657.

It can be divided in two parts, 6 and 9864, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 69864 in words is "sixty-nine thousand, eight hundred sixty-four".