1090409760 has 576 divisors, whose sum is σ = 4398541056. Its totient is φ = 243302400.

The previous prime is 1090409713. The next prime is 1090409797. The reversal of 1090409760 is 679040901.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14937084 + ... + 14937156.

It is an arithmetic number, because the mean of its divisors is an integer number (7636356).

Almost surely, 2^1090409760 is an apocalyptic number.

1090409760 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 1090409760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199270528).

1090409760 is an abundant number, since it is smaller than the sum of its proper divisors (3308131296).

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

1090409760 is a wasteful number, since it uses less digits than its factorization.

1090409760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1090409760 is about 33021.3530915982. The cubic root of 1090409760 is about 1029.2714110930.

The spelling of 1090409760 in words is "one billion, ninety million, four hundred nine thousand, seven hundred sixty".