1090192000 has 128 divisors (see below), whose sum is σ = 2757390480. Its totient is φ = 428544000.

The previous prime is 1090191961. The next prime is 1090192039. The reversal of 1090192000 is 2910901.

It is an interprime number because it is at equal distance from previous prime (1090191961) and next prime (1090192039).

It can be written as a sum of positive squares in 8 ways, for example, as 172344384 + 917847616 = 13128^2 + 30296^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975442 + ... + 976558.

Almost surely, 2^1090192000 is an apocalyptic number.

1090192000 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 1090192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378695240).

1090192000 is an abundant number, since it is smaller than the sum of its proper divisors (1667198480).

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

1090192000 is an equidigital number, since it uses as much as digits as its factorization.

1090192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 1090192000 is about 33018.0556665592. The cubic root of 1090192000 is about 1029.2028897375.

The spelling of 1090192000 in words is "one billion, ninety million, one hundred ninety-two thousand".