1678160 has 40 divisors (see below), whose sum is σ = 4258656. Its totient is φ = 609920.

The previous prime is 1678153. The next prime is 1678181. The reversal of 1678160 is 618761.

It is a tau number, because it is divible by the number of its divisors (40).

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, 74 + ... + 1833.

2^1678160 is an apocalyptic number.

1678160 is a gapful number since it is divisible by the number (10) 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 1678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129328).

1678160 is an abundant number, since it is smaller than the sum of its proper divisors (2580496).

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

1678160 is a wasteful number, since it uses less digits than its factorization.

1678160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1678160 is about 1295.4381498165. The cubic root of 1678160 is about 118.8350231361.

The spelling of 1678160 in words is "one million, six hundred seventy-eight thousand, one hundred sixty".