1098727200 has 144 divisors (see below), whose sum is σ = 3973808160. Its totient is φ = 292988160.

The previous prime is 1098727183. The next prime is 1098727207. The reversal of 1098727200 is 27278901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1098727207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3834 + ... + 47033.

It is an arithmetic number, because the mean of its divisors is an integer number (27595890).

Almost surely, 2^1098727200 is an apocalyptic number.

1098727200 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 1098727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986904080).

1098727200 is an abundant number, since it is smaller than the sum of its proper divisors (2875080960).

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

1098727200 is a wasteful number, since it uses less digits than its factorization.

1098727200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50896 (or 50877 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1098727200 is about 33147.0541677537. The cubic root of 1098727200 is about 1031.8818144810.

The spelling of 1098727200 in words is "one billion, ninety-eight million, seven hundred twenty-seven thousand, two hundred".