887400 has 144 divisors (see below), whose sum is σ = 3264300. Its totient is φ = 215040.

The previous prime is 887399. The next prime is 887401. The reversal of 887400 is 4788.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (887399) and next prime (887401).

It can be written as a sum of positive squares in 6 ways, for example, as 459684 + 427716 = 678^2 + 654^2 .

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 887400.

It is not an unprimeable number, because it can be changed into a prime (887401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30586 + ... + 30614.

2⁸⁸⁷⁴⁰⁰ 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 887400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632150).

887400 is an abundant number, since it is smaller than the sum of its proper divisors (2376900).

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

887400 is a wasteful number, since it uses less digits than its factorization.

887400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 887400 is about 942.0191080865. The cubic root of 887400 is about 96.0962576185.

The spelling of 887400 in words is "eight hundred eighty-seven thousand, four hundred".