872608 has 48 divisors (see below), whose sum is σ = 1953504. Its totient is φ = 380160.

The previous prime is 872587. The next prime is 872609. The reversal of 872608 is 806278.

It is a super-2 number, since 2×872608² = 1522889443328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 872608.

It is not an unprimeable number, because it can be changed into a prime (872609) by changing a digit.

872608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 12991 + ... + 13057.

It is an arithmetic number, because the mean of its divisors is an integer number (40698).

2⁸⁷²⁶⁰⁸ is an apocalyptic number.

872608 is a gapful number since it is divisible by the number (88) 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 872608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752).

872608 is an abundant number, since it is smaller than the sum of its proper divisors (1080896).

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

872608 is a wasteful number, since it uses less digits than its factorization.

872608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 872608 is about 934.1348938992. The cubic root of 872608 is about 95.5593228088.

The spelling of 872608 in words is "eight hundred seventy-two thousand, six hundred eight".