869952 has 56 divisors (see below), whose sum is σ = 2414016. Its totient is φ = 275968.

The previous prime is 869951. The next prime is 869959. The reversal of 869952 is 259968.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 869952.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 869952.

It is not an unprimeable number, because it can be changed into a prime (869951) 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 7 ways as a sum of consecutive naturals, for example, 4318 + ... + 4514.

2⁸⁶⁹⁹⁵² 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 869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207008).

869952 is an abundant number, since it is smaller than the sum of its proper divisors (1544064).

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

869952 is a wasteful number, since it uses less digits than its factorization.

869952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 869952 is about 932.7121742531. The cubic root of 869952 is about 95.4622714010.

The spelling of 869952 in words is "eight hundred sixty-nine thousand, nine hundred fifty-two".