1087128 has 64 divisors (see below), whose sum is σ = 3456000. Its totient is φ = 310176.

The previous prime is 1087117. The next prime is 1087129. The reversal of 1087128 is 8217801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153 + ... + 1871.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2^1087128 is an apocalyptic number.

1087128 is a gapful number since it is divisible by the number (18) 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 1087128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728000).

1087128 is an abundant number, since it is smaller than the sum of its proper divisors (2368872).

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

1087128 is a wasteful number, since it uses less digits than its factorization.

1087128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1087128 is about 1042.6543051271. The cubic root of 1087128 is about 102.8237788614.

The spelling of 1087128 in words is "one million, eighty-seven thousand, one hundred twenty-eight".