886400 has 48 divisors (see below), whose sum is σ = 2197590. Its totient is φ = 353280.

The previous prime is 886387. The next prime is 886421. The reversal of 886400 is 4688.

It can be written as a sum of positive squares in 3 ways, for example, as 506944 + 379456 = 712^2 + 616^2 .

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 886400.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 3062 + ... + 3338.

2⁸⁸⁶⁴⁰⁰ is an apocalyptic number.

886400 is a gapful number since it is divisible by the number (80) 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 886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098795).

886400 is an abundant number, since it is smaller than the sum of its proper divisors (1311190).

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

886400 is a wasteful number, since it uses less digits than its factorization.

886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 886400 is about 941.4881836752. The cubic root of 886400 is about 96.0601474927.

The spelling of 886400 in words is "eight hundred eighty-six thousand, four hundred".