988041600 has 864 divisors, whose sum is σ = 4513438800. Its totient is φ = 201277440.

The previous prime is 988041577. The next prime is 988041601. The reversal of 988041600 is 6140889.

It is a happy number.

988041600 is a `hidden beast` number, since 9 + 8 + 8 + 0 + 41 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988041601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34070386 + ... + 34070414.

Almost surely, 2^988041600 is an apocalyptic number.

988041600 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 988041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256719400).

988041600 is an abundant number, since it is smaller than the sum of its proper divisors (3525397200).

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

988041600 is a wasteful number, since it uses less digits than its factorization.

988041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

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

The square root of 988041600 is about 31433.1290201914. The cubic root of 988041600 is about 995.9978709975.

The spelling of 988041600 in words is "nine hundred eighty-eight million, forty-one thousand, six hundred".