988848000 has 640 divisors, whose sum is σ = 4235774400. Its totient is φ = 223948800.

The previous prime is 988847987. The next prime is 988848019. The reversal of 988848000 is 848889.

988848000 is a `hidden beast` number, since 98 + 88 + 480 + 0 + 0 = 666.

988848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071946 + ... + 9072054.

Almost surely, 2^988848000 is an apocalyptic number.

988848000 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 988848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117887200).

988848000 is an abundant number, since it is smaller than the sum of its proper divisors (3246926400).

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

988848000 is a wasteful number, since it uses less digits than its factorization.

988848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 988848000 is about 31445.9536347683. The cubic root of 988848000 is about 996.2687618441.

The spelling of 988848000 in words is "nine hundred eighty-eight million, eight hundred forty-eight thousand".