1098796800 has 216 divisors, whose sum is σ = 3659904640. Its totient is φ = 290304000.

The previous prime is 1098796799. The next prime is 1098796801. The reversal of 1098796800 is 86978901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1098796799) and next prime (1098796801).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1098796800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098796801) 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 23 ways as a sum of consecutive naturals, for example, 2899011 + ... + 2899389.

Almost surely, 2^1098796800 is an apocalyptic number.

1098796800 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 1098796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829952320).

1098796800 is an abundant number, since it is smaller than the sum of its proper divisors (2561107840).

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

1098796800 is a wasteful number, since it uses less digits than its factorization.

1098796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 1098796800 is about 33148.1040181788. The cubic root of 1098796800 is about 1031.9036025578.

The spelling of 1098796800 in words is "one billion, ninety-eight million, seven hundred ninety-six thousand, eight hundred".