1098118560 has 576 divisors, whose sum is σ = 4523855616. Its totient is φ = 218972160.

The previous prime is 1098118559. The next prime is 1098118577. The reversal of 1098118560 is 658118901.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15042684 + ... + 15042756.

It is an arithmetic number, because the mean of its divisors is an integer number (7853916).

Almost surely, 2^1098118560 is an apocalyptic number.

1098118560 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 1098118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261927808).

1098118560 is an abundant number, since it is smaller than the sum of its proper divisors (3425737056).

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

1098118560 is a wasteful number, since it uses less digits than its factorization.

1098118560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The square root of 1098118560 is about 33137.8719896133. The cubic root of 1098118560 is about 1031.6912422893.

The spelling of 1098118560 in words is "one billion, ninety-eight million, one hundred eighteen thousand, five hundred sixty".