1099438560 has 288 divisors, whose sum is σ = 4226826240. Its totient is φ = 257817600.

The previous prime is 1099438537. The next prime is 1099438567. The reversal of 1099438560 is 658349901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099438567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489921 + ... + 492159.

It is an arithmetic number, because the mean of its divisors is an integer number (14676480).

Almost surely, 2^1099438560 is an apocalyptic number.

1099438560 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 1099438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113413120).

1099438560 is an abundant number, since it is smaller than the sum of its proper divisors (3127387680).

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

1099438560 is a wasteful number, since it uses less digits than its factorization.

1099438560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1099438560 is about 33157.7827968035. The cubic root of 1099438560 is about 1032.1044603112.

The spelling of 1099438560 in words is "one billion, ninety-nine million, four hundred thirty-eight thousand, five hundred sixty".