1098361320 has 256 divisors, whose sum is σ = 3967488000. Its totient is φ = 237828096.

The previous prime is 1098361309. The next prime is 1098361331. The reversal of 1098361320 is 231638901.

It is an interprime number because it is at equal distance from previous prime (1098361309) and next prime (1098361331).

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, 2685276 + ... + 2685684.

It is an arithmetic number, because the mean of its divisors is an integer number (15498000).

Almost surely, 2^1098361320 is an apocalyptic number.

1098361320 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 1098361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983744000).

1098361320 is an abundant number, since it is smaller than the sum of its proper divisors (2869126680).

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

1098361320 is a wasteful number, since it uses less digits than its factorization.

1098361320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1098361320 is about 33141.5346657333. The cubic root of 1098361320 is about 1031.7672616802.

It can be divided in two parts, 109836 and 1320, that added together give a triangular number (111156 = T₄₇₁).

The spelling of 1098361320 in words is "one billion, ninety-eight million, three hundred sixty-one thousand, three hundred twenty".