1098717984 has 432 divisors, whose sum is σ = 4023327672. Its totient is φ = 281788416.

The previous prime is 1098717979. The next prime is 1098717989. The reversal of 1098717984 is 4897178901.

It is an interprime number because it is at equal distance from previous prime (1098717979) and next prime (1098717989).

It can be written as a sum of positive squares in 4 ways, for example, as 533610000 + 565107984 = 23100^2 + 23772^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1098717984.

It is not an unprimeable number, because it can be changed into a prime (1098717989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9723112 + ... + 9723224.

Almost surely, 2^1098717984 is an apocalyptic number.

1098717984 is a gapful number since it is divisible by the number (14) 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 1098717984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011663836).

1098717984 is an abundant number, since it is smaller than the sum of its proper divisors (2924609688).

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

1098717984 is a wasteful number, since it uses less digits than its factorization.

1098717984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The square root of 1098717984 is about 33146.9151505838. The cubic root of 1098717984 is about 1031.8789293701.

It can be divided in two parts, 109871 and 7984, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 1098717984 in words is "one billion, ninety-eight million, seven hundred seventeen thousand, nine hundred eighty-four".