1091091920 has 80 divisors (see below), whose sum is σ = 2596775760. Its totient is φ = 426196992.

The previous prime is 1091091907. The next prime is 1091091931. The reversal of 1091091920 is 291901901.

It can be written as a sum of positive squares in 8 ways, for example, as 213510544 + 877581376 = 14612^2 + 29624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1174016 + ... + 1174944.

It is an arithmetic number, because the mean of its divisors is an integer number (32459697).

Almost surely, 2^1091091920 is an apocalyptic number.

1091091920 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 1091091920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298387880).

1091091920 is an abundant number, since it is smaller than the sum of its proper divisors (1505683840).

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

1091091920 is a wasteful number, since it uses less digits than its factorization.

1091091920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 32.

The square root of 1091091920 is about 33031.6805506471. The cubic root of 1091091920 is about 1029.4860036390.

The spelling of 1091091920 in words is "one billion, ninety-one million, ninety-one thousand, nine hundred twenty".