887292 has 54 divisors (see below), whose sum is σ = 2614248. Its totient is φ = 253008.

The previous prime is 887291. The next prime is 887311. The reversal of 887292 is 292788.

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

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 887292.

It is not an unprimeable number, because it can be changed into a prime (887291) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1513 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (48412).

2⁸⁸⁷²⁹² 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 887292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307124).

887292 is an abundant number, since it is smaller than the sum of its proper divisors (1726956).

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

887292 is a wasteful number, since it uses less digits than its factorization.

887292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 887292 is about 941.9617826642. The cubic root of 887292 is about 96.0923590320.

The spelling of 887292 in words is "eight hundred eighty-seven thousand, two hundred ninety-two".