988320 has 96 divisors (see below), whose sum is σ = 3265920. Its totient is φ = 250880.

The previous prime is 988319. The next prime is 988321. The reversal of 988320 is 23889.

It is an interprime number because it is at equal distance from previous prime (988319) and next prime (988321).

It is a tau number, because it is divible by the number of its divisors (96).

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 not an unprimeable number, because it can be changed into a prime (988321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13885 + ... + 13955.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁹⁸⁸³²⁰ 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 988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632960).

988320 is an abundant number, since it is smaller than the sum of its proper divisors (2277600).

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

988320 is a wasteful number, since it uses less digits than its factorization.

988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 988320 is about 994.1428468787. The cubic root of 988320 is about 99.6091409491.

The spelling of 988320 in words is "nine hundred eighty-eight thousand, three hundred twenty".