1678560 has 96 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 411648.

The previous prime is 1678553. The next prime is 1678571. The reversal of 1678560 is 658761.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6106 + ... + 6374.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

2^1678560 is an apocalyptic number.

1678560 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 1678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

1678560 is an abundant number, since it is smaller than the sum of its proper divisors (4036800).

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

1678560 is a wasteful number, since it uses less digits than its factorization.

1678560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1678560 is about 1295.5925285367. The cubic root of 1678560 is about 118.8444640780.

The spelling of 1678560 in words is "one million, six hundred seventy-eight thousand, five hundred sixty".