1127952 has 80 divisors (see below), whose sum is σ = 3710080. Its totient is φ = 321408.

The previous prime is 1127947. The next prime is 1127957. The reversal of 1127952 is 2597211.

It is an interprime number because it is at equal distance from previous prime (1127947) and next prime (1127957).

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

It is not an unprimeable number, because it can be changed into a prime (1127957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2838 + ... + 3210.

It is an arithmetic number, because the mean of its divisors is an integer number (46376).

2^1127952 is an apocalyptic number.

1127952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

1127952 is the 672-nd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855040).

1127952 is an abundant number, since it is smaller than the sum of its proper divisors (2582128).

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

1127952 is a wasteful number, since it uses less digits than its factorization.

1127952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 1127952 is about 1062.0508462404. The cubic root of 1127952 is about 104.0950807000.

The spelling of 1127952 in words is "one million, one hundred twenty-seven thousand, nine hundred fifty-two".