988056576 has 176 divisors, whose sum is σ = 3152380000. Its totient is φ = 303906816.

The previous prime is 988056569. The next prime is 988056577. The reversal of 988056576 is 675650889.

988056576 is a `hidden beast` number, since 9 + 8 + 8 + 0 + 565 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988056577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358050 + ... + 360798.

It is an arithmetic number, because the mean of its divisors is an integer number (17911250).

Almost surely, 2^988056576 is an apocalyptic number.

988056576 is a gapful number since it is divisible by the number (96) 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 988056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576190000).

988056576 is an abundant number, since it is smaller than the sum of its proper divisors (2164323424).

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

988056576 is a wasteful number, since it uses less digits than its factorization.

988056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 988056576 is about 31433.3672392889. The cubic root of 988056576 is about 996.0029031705.

The spelling of 988056576 in words is "nine hundred eighty-eight million, fifty-six thousand, five hundred seventy-six".