1098011520 has 384 divisors, whose sum is σ = 4073472000. Its totient is φ = 271724544.

The previous prime is 1098011491. The next prime is 1098011527. The reversal of 1098011520 is 251108901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098011527) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8645697 + ... + 8645823.

It is an arithmetic number, because the mean of its divisors is an integer number (10608000).

Almost surely, 2^1098011520 is an apocalyptic number.

1098011520 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 1098011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036736000).

1098011520 is an abundant number, since it is smaller than the sum of its proper divisors (2975460480).

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

1098011520 is a wasteful number, since it uses less digits than its factorization.

1098011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1098011520 is about 33136.2568797382. The cubic root of 1098011520 is about 1031.6577195523.

It can be divided in two parts, 10980 and 11520, that added together give a square (22500 = 150²).

The spelling of 1098011520 in words is "one billion, ninety-eight million, eleven thousand, five hundred twenty".