1098765216 has 192 divisors, whose sum is σ = 3418329600. Its totient is φ = 342171648.

The previous prime is 1098765211. The next prime is 1098765221. The reversal of 1098765216 is 6125678901.

It is an interprime number because it is at equal distance from previous prime (1098765211) and next prime (1098765221).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1098765211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3510276 + ... + 3510588.

It is an arithmetic number, because the mean of its divisors is an integer number (17803800).

Almost surely, 2^1098765216 is an apocalyptic number.

1098765216 is a gapful number since it is divisible by the number (16) 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 1098765216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709164800).

1098765216 is an abundant number, since it is smaller than the sum of its proper divisors (2319564384).

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

1098765216 is a wasteful number, since it uses less digits than its factorization.

1098765216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1098765216 is about 33147.6276074171. The cubic root of 1098765216 is about 1031.8937153928.

The spelling of 1098765216 in words is "one billion, ninety-eight million, seven hundred sixty-five thousand, two hundred sixteen".