1090632960 has 216 divisors, whose sum is σ = 3996163080. Its totient is φ = 273678336.

The previous prime is 1090632913. The next prime is 1090632989. The reversal of 1090632960 is 692360901.

1090632960 is a `hidden beast` number, since 10 + 9 + 0 + 632 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93083904 + 997549056 = 9648^2 + 31584^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193056 + ... + 198624.

It is an arithmetic number, because the mean of its divisors is an integer number (18500755).

Almost surely, 2^1090632960 is an apocalyptic number.

1090632960 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 1090632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998081540).

1090632960 is an abundant number, since it is smaller than the sum of its proper divisors (2905530120).

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

1090632960 is a wasteful number, since it uses less digits than its factorization.

1090632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1090632960 is about 33024.7325500147. The cubic root of 1090632960 is about 1029.3416347570.

The spelling of 1090632960 in words is "one billion, ninety million, six hundred thirty-two thousand, nine hundred sixty".