1127585340 has 96 divisors (see below), whose sum is σ = 4009205760. Its totient is φ = 257732928.

The previous prime is 1127585339. The next prime is 1127585357. The reversal of 1127585340 is 435857211.

1127585340 is a `hidden beast` number, since 11 + 27 + 585 + 3 + 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 = 1127585295 and 1127585304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145372 + ... + 152931.

It is an arithmetic number, because the mean of its divisors is an integer number (41762560).

Almost surely, 2^1127585340 is an apocalyptic number.

1127585340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1127585340 is an abundant number, since it is smaller than the sum of its proper divisors (2881620420).

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

1127585340 is a wasteful number, since it uses less digits than its factorization.

1127585340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298328 (or 298320 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1127585340 is about 33579.5375191500. The cubic root of 1127585340 is about 1040.8380018493.

The spelling of 1127585340 in words is "one billion, one hundred twenty-seven million, five hundred eighty-five thousand, three hundred forty".