1127831040 has 720 divisors, whose sum is σ = 4839346512. Its totient is φ = 250822656.

The previous prime is 1127831027. The next prime is 1127831041. The reversal of 1127831040 is 401387211.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1127830995 and 1127831013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127831041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 30481902 + ... + 30481938.

Almost surely, 2^1127831040 is an apocalyptic number.

1127831040 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 1127831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419673256).

1127831040 is an abundant number, since it is smaller than the sum of its proper divisors (3711515472).

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

1127831040 is an frugal number, since it uses more digits than its factorization.

1127831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1127831040 is about 33583.1957978987. The cubic root of 1127831040 is about 1040.9135956323.

1127831040 divided by its product of nonzero digits (1344) gives a triangular number (839160 = T₁₂₉₅).

The spelling of 1127831040 in words is "one billion, one hundred twenty-seven million, eight hundred thirty-one thousand, forty".