887364 has 27 divisors (see below), whose sum is σ = 2257437. Its totient is φ = 293904.

The previous prime is 887333. The next prime is 887377. The reversal of 887364 is 463788.

The square root of 887364 is 942.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 260100 + 627264 = 510^2 + 792^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 887364.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5574 + ... + 5730.

2⁸⁸⁷³⁶⁴ is an apocalyptic number.

887364 is the 942-nd square number.

It is an amenable number.

887364 is an abundant number, since it is smaller than the sum of its proper divisors (1370073).

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

887364 is a wasteful number, since it uses less digits than its factorization.

887364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The cubic root of 887364 is about 96.0949581248.

Multiplying 887364 by its sum of digits (36), we get a square (31945104 = 5652²).

887364 divided by its sum of digits (36) gives a square (24649 = 157²).

The spelling of 887364 in words is "eight hundred eighty-seven thousand, three hundred sixty-four".