1127260820 has 96 divisors (see below), whose sum is σ = 2989260288. Its totient is φ = 347922432.

The previous prime is 1127260811. The next prime is 1127260879. The reversal of 1127260820 is 280627211.

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 31 ways as a sum of consecutive naturals, for example, 44444 + ... + 65036.

It is an arithmetic number, because the mean of its divisors is an integer number (31138128).

Almost surely, 2^1127260820 is an apocalyptic number.

1127260820 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 1127260820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494630144).

1127260820 is an abundant number, since it is smaller than the sum of its proper divisors (1861999468).

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

1127260820 is a wasteful number, since it uses less digits than its factorization.

1127260820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20649 (or 20647 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1127260820 is about 33574.7050619957. The cubic root of 1127260820 is about 1040.7381409207.

The spelling of 1127260820 in words is "one billion, one hundred twenty-seven million, two hundred sixty thousand, eight hundred twenty".