1090661000 has 256 divisors, whose sum is σ = 3113510400. Its totient is φ = 352128000.

The previous prime is 1090660981. The next prime is 1090661017. The reversal of 1090661000 is 1660901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4146869 + ... + 4147131.

It is an arithmetic number, because the mean of its divisors is an integer number (12162150).

Almost surely, 2^1090661000 is an apocalyptic number.

1090661000 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 1090661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556755200).

1090661000 is an abundant number, since it is smaller than the sum of its proper divisors (2022849400).

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

1090661000 is a wasteful number, since it uses less digits than its factorization.

1090661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1090661000 is about 33025.1570775977. The cubic root of 1090661000 is about 1029.3504560846.

The spelling of 1090661000 in words is "one billion, ninety million, six hundred sixty-one thousand".