987120 has 80 divisors (see below), whose sum is σ = 3407520. Its totient is φ = 262656.

The previous prime is 987101. The next prime is 987127. The reversal of 987120 is 21789.

987120 = T₁₉ + T₂₀ + ... + T₁₈₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987127) by changing a digit.

987120 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 15 ways as a sum of consecutive naturals, for example, 1932 + ... + 2388.

It is an arithmetic number, because the mean of its divisors is an integer number (42594).

2⁹⁸⁷¹²⁰ is an apocalyptic number.

987120 is a gapful number since it is divisible by the number (90) 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 987120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703760).

987120 is an abundant number, since it is smaller than the sum of its proper divisors (2420400).

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

987120 is a wasteful number, since it uses less digits than its factorization.

987120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 987120 is about 993.5391285702. The cubic root of 987120 is about 99.5688100916.

The spelling of 987120 in words is "nine hundred eighty-seven thousand, one hundred twenty".