1090992000 has 512 divisors, whose sum is σ = 4399349760. Its totient is φ = 233472000.

The previous prime is 1090991981. The next prime is 1090992011. The reversal of 1090992000 is 2990901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5711905 + ... + 5712095.

It is an arithmetic number, because the mean of its divisors is an integer number (8592480).

Almost surely, 2^1090992000 is an apocalyptic number.

1090992000 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 1090992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199674880).

1090992000 is an abundant number, since it is smaller than the sum of its proper divisors (3308357760).

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

1090992000 is a wasteful number, since it uses less digits than its factorization.

1090992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 1090992000 is about 33030.1680286371. The cubic root of 1090992000 is about 1029.4545765948.

The spelling of 1090992000 in words is "one billion, ninety million, nine hundred ninety-two thousand".