1098313600 has 96 divisors (see below), whose sum is σ = 2732347440. Its totient is φ = 436224000.

The previous prime is 1098313597. The next prime is 1098313609. The reversal of 1098313600 is 63138901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098313609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482064 + ... + 484336.

Almost surely, 2^1098313600 is an apocalyptic number.

1098313600 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 1098313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366173720).

1098313600 is an abundant number, since it is smaller than the sum of its proper divisors (1634033840).

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

1098313600 is a wasteful number, since it uses less digits than its factorization.

1098313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 1098313600 is about 33140.8147153929. The cubic root of 1098313600 is about 1031.7523192243.

The spelling of 1098313600 in words is "one billion, ninety-eight million, three hundred thirteen thousand, six hundred".