1127490840 has 384 divisors, whose sum is σ = 4421813760. Its totient is φ = 253062144.

The previous prime is 1127490827. The next prime is 1127490869. The reversal of 1127490840 is 480947211.

1127490840 is a `hidden beast` number, since 1 + 127 + 490 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1127490795 and 1127490804.

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 95 ways as a sum of consecutive naturals, for example, 4966807 + ... + 4967033.

It is an arithmetic number, because the mean of its divisors is an integer number (11515140).

Almost surely, 2^1127490840 is an apocalyptic number.

1127490840 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 1127490840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210906880).

1127490840 is an abundant number, since it is smaller than the sum of its proper divisors (3294322920).

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

1127490840 is a wasteful number, since it uses less digits than its factorization.

1127490840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1127490840 is about 33578.1303827357. The cubic root of 1127490840 is about 1040.8089243934.

The spelling of 1127490840 in words is "one billion, one hundred twenty-seven million, four hundred ninety thousand, eight hundred forty".