988164 has 18 divisors (see below), whose sum is σ = 2497950. Its totient is φ = 329376.

The previous prime is 988157. The next prime is 988199. The reversal of 988164 is 461889.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 66564 = 960^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 27449 = 988164 / (9 + 8 + 8 + 1 + 6 + 4).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13689 + ... + 13760.

It is an arithmetic number, because the mean of its divisors is an integer number (138775).

2⁹⁸⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

988164 is an abundant number, since it is smaller than the sum of its proper divisors (1509786).

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

988164 is a wasteful number, since it uses less digits than its factorization.

988164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27459 (or 27454 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 988164 is about 994.0643842327. The cubic root of 988164 is about 99.6038997844.

The spelling of 988164 in words is "nine hundred eighty-eight thousand, one hundred sixty-four".