876252 has 48 divisors (see below), whose sum is σ = 2272032. Its totient is φ = 261120.

The previous prime is 876233. The next prime is 876257. The reversal of 876252 is 252678.

It is a d-powerful number, because it can be written as 8⁴ + 7⁷ + 2² + 6³ + 5⁶ + 2¹⁵ .

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 876252.

It is not an unprimeable number, because it can be changed into a prime (876257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6328 + ... + 6464.

It is an arithmetic number, because the mean of its divisors is an integer number (47334).

2⁸⁷⁶²⁵² is an apocalyptic number.

876252 is a gapful number since it is divisible by the number (82) 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 876252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136016).

876252 is an abundant number, since it is smaller than the sum of its proper divisors (1395780).

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

876252 is a wasteful number, since it uses less digits than its factorization.

876252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 876252 is about 936.0833296240. The cubic root of 876252 is about 95.6921562520.

It can be divided in two parts, 876 and 252, that added together give a triangular number (1128 = T₄₇).

The spelling of 876252 in words is "eight hundred seventy-six thousand, two hundred fifty-two".