1098509160 has 256 divisors, whose sum is σ = 3876802560. Its totient is φ = 243855360.

The previous prime is 1098509147. The next prime is 1098509173. The reversal of 1098509160 is 619058901.

It is an interprime number because it is at equal distance from previous prime (1098509147) and next prime (1098509173).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6739239 + ... + 6739401.

It is an arithmetic number, because the mean of its divisors is an integer number (15143760).

Almost surely, 2^1098509160 is an apocalyptic number.

1098509160 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 1098509160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938401280).

1098509160 is an abundant number, since it is smaller than the sum of its proper divisors (2778293400).

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

1098509160 is a wasteful number, since it uses less digits than its factorization.

1098509160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 1098509160 is about 33143.7650245110. The cubic root of 1098509160 is about 1031.8135517385.

The spelling of 1098509160 in words is "one billion, ninety-eight million, five hundred nine thousand, one hundred sixty".