1127136 has 48 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 367488.

The previous prime is 1127123. The next prime is 1127149. The reversal of 1127136 is 6317211.

It is an interprime number because it is at equal distance from previous prime (1127123) and next prime (1127149).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5565 + ... + 5763.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

2^1127136 is an apocalyptic number.

1127136 is a gapful number since it is divisible by the number (16) 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 1127136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

1127136 is an abundant number, since it is smaller than the sum of its proper divisors (1896864).

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

1127136 is a wasteful number, since it uses less digits than its factorization.

1127136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 1127136 is about 1061.6666143380. Note that the first 4 decimals coincide. The cubic root of 1127136 is about 104.0699726348.

The spelling of 1127136 in words is "one million, one hundred twenty-seven thousand, one hundred thirty-six".