1099240128 has 504 divisors, whose sum is σ = 4065422400. Its totient is φ = 281788416.

The previous prime is 1099240063. The next prime is 1099240139. The reversal of 1099240128 is 8210429901.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1099240092 and 1099240101.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13914393 + ... + 13914471.

Almost surely, 2^1099240128 is an apocalyptic number.

1099240128 is a gapful number since it is divisible by the number (18) 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 1099240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032711200).

1099240128 is an abundant number, since it is smaller than the sum of its proper divisors (2966182272).

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

1099240128 is a wasteful number, since it uses less digits than its factorization.

1099240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1099240128 is about 33154.7904231048. The cubic root of 1099240128 is about 1032.0423635034.

The spelling of 1099240128 in words is "one billion, ninety-nine million, two hundred forty thousand, one hundred twenty-eight".