1098722880 has 560 divisors, whose sum is σ = 4337182080. Its totient is φ = 262766592.

The previous prime is 1098722873. The next prime is 1098722887. The reversal of 1098722880 is 882278901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1098722873) and next prime (1098722887).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1098722887) 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 79 ways as a sum of consecutive naturals, for example, 11326992 + ... + 11327088.

It is an arithmetic number, because the mean of its divisors is an integer number (7744968).

Almost surely, 2^1098722880 is an apocalyptic number.

1098722880 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 1098722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168591040).

1098722880 is an abundant number, since it is smaller than the sum of its proper divisors (3238459200).

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

1098722880 is a wasteful number, since it uses less digits than its factorization.

1098722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1098722880 is about 33146.9890035279. The cubic root of 1098722880 is about 1031.8804620872.

The spelling of 1098722880 in words is "one billion, ninety-eight million, seven hundred twenty-two thousand, eight hundred eighty".