1077128 has 16 divisors (see below), whose sum is σ = 2175180. Its totient is φ = 497088.

The previous prime is 1077127. The next prime is 1077143. The reversal of 1077128 is 8217701.

It can be written as a sum of positive squares in 2 ways, for example, as 1036324 + 40804 = 1018^2 + 202^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1077097 and 1077106.

It is not an unprimeable number, because it can be changed into a prime (1077127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5075 + ... + 5282.

2^1077128 is an apocalyptic number.

It is an amenable number.

1077128 is an abundant number, since it is smaller than the sum of its proper divisors (1098052).

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

1077128 is a wasteful number, since it uses less digits than its factorization.

1077128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 1077128 is about 1037.8477730380. The cubic root of 1077128 is about 102.5075306781.

The spelling of 1077128 in words is "one million, seventy-seven thousand, one hundred twenty-eight".