1678120 has 16 divisors (see below), whose sum is σ = 3775860. Its totient is φ = 671232.

The previous prime is 1678111. The next prime is 1678129. The reversal of 1678120 is 218761.

It is an interprime number because it is at equal distance from previous prime (1678111) and next prime (1678129).

It can be written as a sum of positive squares in 2 ways, for example, as 1643524 + 34596 = 1282^2 + 186^2 .

It is not an unprimeable number, because it can be changed into a prime (1678129) 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, 20937 + ... + 21016.

2^1678120 is an apocalyptic number.

1678120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1678120 is an abundant number, since it is smaller than the sum of its proper divisors (2097740).

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

1678120 is a wasteful number, since it uses less digits than its factorization.

1678120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41964 (or 41960 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1678120 is about 1295.4227109326. The cubic root of 1678120 is about 118.8340789594.

The spelling of 1678120 in words is "one million, six hundred seventy-eight thousand, one hundred twenty".