887520 has 72 divisors (see below), whose sum is σ = 2862216. Its totient is φ = 231168.

The previous prime is 887503. The next prime is 887533. The reversal of 887520 is 25788.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

887520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20619 + ... + 20661.

It is an arithmetic number, because the mean of its divisors is an integer number (39753).

2⁸⁸⁷⁵²⁰ is an apocalyptic number.

887520 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 887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431108).

887520 is an abundant number, since it is smaller than the sum of its proper divisors (1974696).

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

887520 is a wasteful number, since it uses less digits than its factorization.

887520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 887520 is about 942.0827989089. The cubic root of 887520 is about 96.1005890102.

Multiplying 887520 by its sum of digits (30), we get a square (26625600 = 5160²).

887520 divided by its sum of digits (30) gives a square (29584 = 172²).

The spelling of 887520 in words is "eight hundred eighty-seven thousand, five hundred twenty".