1127660940 has 384 divisors, whose sum is σ = 4231987200. Its totient is φ = 246903552.

The previous prime is 1127660921. The next prime is 1127660953. The reversal of 1127660940 is 490667211.

1127660940 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 6 + 609 + 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 = 1127660895 and 1127660904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8879157 + ... + 8879283.

It is an arithmetic number, because the mean of its divisors is an integer number (11020800).

It is a vampire number, since it can be written as 17010 ⋅ 66294 (with its own digits).

Almost surely, 2^1127660940 is an apocalyptic number.

1127660940 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 1127660940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115993600).

1127660940 is an abundant number, since it is smaller than the sum of its proper divisors (3104326260).

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

1127660940 is a wasteful number, since it uses less digits than its factorization.

1127660940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1127660940 is about 33580.6631858276. The cubic root of 1127660940 is about 1040.8612626443.

The spelling of 1127660940 in words is "one billion, one hundred twenty-seven million, six hundred sixty thousand, nine hundred forty".