987920 has 40 divisors (see below), whose sum is σ = 2350296. Its totient is φ = 386048.

The previous prime is 987913. The next prime is 987929. The reversal of 987920 is 29789.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 913936 = 272^2 + 956^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 987920.

It is not an unprimeable number, because it can be changed into a prime (987929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4124 + ... + 4356.

2⁹⁸⁷⁹²⁰ 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 987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175148).

987920 is an abundant number, since it is smaller than the sum of its proper divisors (1362376).

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

987920 is a wasteful number, since it uses less digits than its factorization.

987920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 987920 is about 993.9416481867. The cubic root of 987920 is about 99.5957009590.

The spelling of 987920 in words is "nine hundred eighty-seven thousand, nine hundred twenty".