1098190880 has 72 divisors (see below), whose sum is σ = 2738358252. Its totient is φ = 416134656.

The previous prime is 1098190843. The next prime is 1098190897. The reversal of 1098190880 is 880918901.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 883040656 + 215150224 = 29716^2 + 14668^2 .

It is a super-3 number, since 3×1098190880³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48254 + ... + 67266.

Almost surely, 2^1098190880 is an apocalyptic number.

1098190880 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 1098190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369179126).

1098190880 is an abundant number, since it is smaller than the sum of its proper divisors (1640167372).

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

1098190880 is a wasteful number, since it uses less digits than its factorization.

1098190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19066 (or 19039 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 44.

The square root of 1098190880 is about 33138.9631702623. The cubic root of 1098190880 is about 1031.7138901998.

The spelling of 1098190880 in words is "one billion, ninety-eight million, one hundred ninety thousand, eight hundred eighty".