1092768960 has 112 divisors (see below), whose sum is σ = 3497250816. Its totient is φ = 289078272.

The previous prime is 1092768949. The next prime is 1092768961. The reversal of 1092768960 is 698672901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1092768961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117439 + ... + 126401.

Almost surely, 2^1092768960 is an apocalyptic number.

1092768960 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 1092768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748625408).

1092768960 is an abundant number, since it is smaller than the sum of its proper divisors (2404481856).

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

1092768960 is a wasteful number, since it uses less digits than its factorization.

1092768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 1092768960 is about 33057.0561302727. The cubic root of 1092768960 is about 1030.0131836060.

The spelling of 1092768960 in words is "one billion, ninety-two million, seven hundred sixty-eight thousand, nine hundred sixty".