1127882560 has 112 divisors (see below), whose sum is σ = 3231123840. Its totient is φ = 366336000.

The previous prime is 1127882551. The next prime is 1127882563. The reversal of 1127882560 is 652887211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127882563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29310 + ... + 55810.

It is an arithmetic number, because the mean of its divisors is an integer number (28849320).

Almost surely, 2^1127882560 is an apocalyptic number.

1127882560 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 1127882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615561920).

1127882560 is an abundant number, since it is smaller than the sum of its proper divisors (2103241280).

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

1127882560 is a wasteful number, since it uses less digits than its factorization.

1127882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26544 (or 26534 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 1127882560 is about 33583.9628394268. The cubic root of 1127882560 is about 1040.9294452439.

The spelling of 1127882560 in words is "one billion, one hundred twenty-seven million, eight hundred eighty-two thousand, five hundred sixty".