1098856200 has 192 divisors, whose sum is σ = 3884751360. Its totient is φ = 254545920.

The previous prime is 1098856189. The next prime is 1098856207. The reversal of 1098856200 is 26588901.

It is a Cunningham number, because it is equal to 33149²-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1098856207) 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, 128457 + ... + 136743.

It is an arithmetic number, because the mean of its divisors is an integer number (20233080).

Almost surely, 2^1098856200 is an apocalyptic number.

1098856200 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 1098856200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942375680).

1098856200 is an abundant number, since it is smaller than the sum of its proper divisors (2785895160).

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

1098856200 is a wasteful number, since it uses less digits than its factorization.

1098856200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1098856200 is about 33148.9999849166. Note that the first 4 decimals coincide. The cubic root of 1098856200 is about 1031.9221968267.

The spelling of 1098856200 in words is "one billion, ninety-eight million, eight hundred fifty-six thousand, two hundred".