1090961000 has 128 divisors (see below), whose sum is σ = 2730499200. Its totient is φ = 406771200.

The previous prime is 1090960993. The next prime is 1090961023. The reversal of 1090961000 is 1690901.

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 31 ways as a sum of consecutive naturals, for example, 1272572 + ... + 1273428.

It is an arithmetic number, because the mean of its divisors is an integer number (21332025).

Almost surely, 2^1090961000 is an apocalyptic number.

1090961000 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 1090961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365249600).

1090961000 is an abundant number, since it is smaller than the sum of its proper divisors (1639538200).

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

1090961000 is a wasteful number, since it uses less digits than its factorization.

1090961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 1090961000 is about 33029.6987573305. The cubic root of 1090961000 is about 1029.4448260210. Note that the first 3 decimals are identical.

The spelling of 1090961000 in words is "one billion, ninety million, nine hundred sixty-one thousand".