1098240416 has 144 divisors (see below), whose sum is σ = 2721950784. Its totient is φ = 426995712.

The previous prime is 1098240389. The next prime is 1098240419. The reversal of 1098240416 is 6140428901.

1098240416 = T₁₃₃ + T₁₃₄ + ... + T₁₈₇₄.

It is a happy number.

It is a super-2 number, since 2×1098240416² = 2412264022671706112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1098240419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2536136 + ... + 2536568.

It is an arithmetic number, because the mean of its divisors is an integer number (18902436).

Almost surely, 2^1098240416 is an apocalyptic number.

1098240416 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 1098240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360975392).

1098240416 is an abundant number, since it is smaller than the sum of its proper divisors (1623710368).

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

1098240416 is a wasteful number, since it uses less digits than its factorization.

1098240416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1098240416 is about 33139.7105599913. The cubic root of 1098240416 is about 1031.7294024427.

The spelling of 1098240416 in words is "one billion, ninety-eight million, two hundred forty thousand, four hundred sixteen".