1098123840 has 336 divisors, whose sum is σ = 4364979840. Its totient is φ = 250429440.

The previous prime is 1098123811. The next prime is 1098123841. The reversal of 1098123840 is 483218901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1098123795 and 1098123804.

It is not an unprimeable number, because it can be changed into a prime (1098123841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537541 + ... + 539579.

Almost surely, 2^1098123840 is an apocalyptic number.

1098123840 is a gapful number since it is divisible by the number (10) 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 1098123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182489920).

1098123840 is an abundant number, since it is smaller than the sum of its proper divisors (3266856000).

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

1098123840 is a wasteful number, since it uses less digits than its factorization.

1098123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1098123840 is about 33137.9516566730. The cubic root of 1098123840 is about 1031.6928958208.

The spelling of 1098123840 in words is "one billion, ninety-eight million, one hundred twenty-three thousand, eight hundred forty".