988624896 has 192 divisors, whose sum is σ = 3052707840. Its totient is φ = 278691840.

The previous prime is 988624849. The next prime is 988624961. The reversal of 988624896 is 698426889.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5461926 + ... + 5462106.

It is an arithmetic number, because the mean of its divisors is an integer number (15899520).

Almost surely, 2^988624896 is an apocalyptic number.

988624896 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 988624896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526353920).

988624896 is an abundant number, since it is smaller than the sum of its proper divisors (2064082944).

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

988624896 is a wasteful number, since it uses less digits than its factorization.

988624896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 60.

The square root of 988624896 is about 31442.4060148075. The cubic root of 988624896 is about 996.1938301174.

The spelling of 988624896 in words is "nine hundred eighty-eight million, six hundred twenty-four thousand, eight hundred ninety-six".