988785000 has 480 divisors, whose sum is σ = 3966980160. Its totient is φ = 217728000.

The previous prime is 988784983. The next prime is 988785001. The reversal of 988785000 is 587889.

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

It is not an unprimeable number, because it can be changed into a prime (988785001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13544964 + ... + 13545036.

It is an arithmetic number, because the mean of its divisors is an integer number (8264542).

Almost surely, 2^988785000 is an apocalyptic number.

988785000 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 988785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983490080).

988785000 is an abundant number, since it is smaller than the sum of its proper divisors (2978195160).

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

988785000 is a wasteful number, since it uses less digits than its factorization.

988785000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 988785000 is about 31444.9519001063. The cubic root of 988785000 is about 996.2476038013.

The spelling of 988785000 in words is "nine hundred eighty-eight million, seven hundred eighty-five thousand".