988560 has 60 divisors (see below), whose sum is σ = 3322332. Its totient is φ = 263424.

The previous prime is 988549. The next prime is 988571. The reversal of 988560 is 65889.

988560 is a `hidden beast` number, since 98 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (988549) and next prime (988571).

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 242064 = 864^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

988560 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, 34 + ... + 1406.

2⁹⁸⁸⁵⁶⁰ is an apocalyptic number.

988560 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 988560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661166).

988560 is an abundant number, since it is smaller than the sum of its proper divisors (2333772).

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

988560 is a wasteful number, since it uses less digits than its factorization.

988560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 988560 is about 994.2635465509. The cubic root of 988560 is about 99.6172032025.

The spelling of 988560 in words is "nine hundred eighty-eight thousand, five hundred sixty".