1098086400 has 216 divisors, whose sum is σ = 3934279440. Its totient is φ = 292700160.

The previous prime is 1098086377. The next prime is 1098086467. The reversal of 1098086400 is 46808901.

It is a happy number.

1098086400 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 0 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 459609 + ... + 461991.

Almost surely, 2^1098086400 is an apocalyptic number.

1098086400 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 1098086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967139720).

1098086400 is an abundant number, since it is smaller than the sum of its proper divisors (2836193040).

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

1098086400 is a wasteful number, since it uses less digits than its factorization.

1098086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2393 counting only the distinct ones).

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

The square root of 1098086400 is about 33137.3867406590. The cubic root of 1098086400 is about 1031.6811706645.

The spelling of 1098086400 in words is "one billion, ninety-eight million, eighty-six thousand, four hundred".