988225920 has 320 divisors, whose sum is σ = 3852185040. Its totient is φ = 239431680.

The previous prime is 988225907. The next prime is 988225943. The reversal of 988225920 is 29522889.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 569374 + ... + 571106.

Almost surely, 2^988225920 is an apocalyptic number.

988225920 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 988225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926092520).

988225920 is an abundant number, since it is smaller than the sum of its proper divisors (2863959120).

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

988225920 is a wasteful number, since it uses less digits than its factorization.

988225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 988225920 is about 31436.0608219287. The cubic root of 988225920 is about 996.0598018963.

The spelling of 988225920 in words is "nine hundred eighty-eight million, two hundred twenty-five thousand, nine hundred twenty".