988956000 has 192 divisors, whose sum is σ = 3600192960. Its totient is φ = 263692800.

The previous prime is 988955987. The next prime is 988956013. The reversal of 988956000 is 659889.

988956000 is a `hidden beast` number, since 9 + 8 + 89 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (988955987) and next prime (988956013).

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 31 ways as a sum of consecutive naturals, for example, 103422 + ... + 112578.

It is an arithmetic number, because the mean of its divisors is an integer number (18751005).

Almost surely, 2^988956000 is an apocalyptic number.

988956000 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 988956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800096480).

988956000 is an abundant number, since it is smaller than the sum of its proper divisors (2611236960).

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

988956000 is a wasteful number, since it uses less digits than its factorization.

988956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 988956000 is about 31447.6708199510. The cubic root of 988956000 is about 996.3050306840.

The spelling of 988956000 in words is "nine hundred eighty-eight million, nine hundred fifty-six thousand".