988416 has 144 divisors (see below), whose sum is σ = 3433920. Its totient is φ = 276480.

The previous prime is 988409. The next prime is 988417. The reversal of 988416 is 614889.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

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 988416.

It is not an unprimeable number, because it can be changed into a prime (988417) by changing a digit.

988416 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 76026 + ... + 76038.

2⁹⁸⁸⁴¹⁶ is an apocalyptic number.

988416 is a gapful number since it is divisible by the number (96) 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 988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716960).

988416 is an abundant number, since it is smaller than the sum of its proper divisors (2445504).

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

988416 is a wasteful number, since it uses less digits than its factorization.

988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 29 counting only the distinct ones).

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

The square root of 988416 is about 994.1911285060. The cubic root of 988416 is about 99.6123660071.

The spelling of 988416 in words is "nine hundred eighty-eight thousand, four hundred sixteen".