988575840 has 480 divisors, whose sum is σ = 4228386624. Its totient is φ = 212336640.

The previous prime is 988575817. The next prime is 988575851. The reversal of 988575840 is 48575889.

988575840 is a `hidden beast` number, since 9 + 8 + 8 + 57 + 584 + 0 = 666.

988575840 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 (480).

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

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, 1541920 + ... + 1542560.

Almost surely, 2^988575840 is an apocalyptic number.

988575840 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 988575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114193312).

988575840 is an abundant number, since it is smaller than the sum of its proper divisors (3239810784).

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

988575840 is a wasteful number, since it uses less digits than its factorization.

988575840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 988575840 is about 31441.6259121566. The cubic root of 988575840 is about 996.1773526536.

The spelling of 988575840 in words is "nine hundred eighty-eight million, five hundred seventy-five thousand, eight hundred forty".