1098496080 has 360 divisors, whose sum is σ = 4214167776. Its totient is φ = 265731840.

The previous prime is 1098496051. The next prime is 1098496121. The reversal of 1098496080 is 806948901.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2352007 + ... + 2352473.

Almost surely, 2^1098496080 is an apocalyptic number.

1098496080 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 1098496080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107083888).

1098496080 is an abundant number, since it is smaller than the sum of its proper divisors (3115671696).

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

1098496080 is a wasteful number, since it uses less digits than its factorization.

1098496080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1098496080 is about 33143.5677017427. The cubic root of 1098496080 is about 1031.8094564382.

The spelling of 1098496080 in words is "one billion, ninety-eight million, four hundred ninety-six thousand, eighty".