1677680 has 40 divisors (see below), whose sum is σ = 3971472. Its totient is φ = 658944.

The previous prime is 1677673. The next prime is 1677703. The reversal of 1677680 is 867761.

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

It is a super-2 number, since 2×1677680² = 5629220364800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1677680.

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, 5204 + ... + 5516.

2^1677680 is an apocalyptic number.

1677680 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 1677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985736).

1677680 is an abundant number, since it is smaller than the sum of its proper divisors (2293792).

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

1677680 is a wasteful number, since it uses less digits than its factorization.

1677680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 1677680 is about 1295.2528710642. The cubic root of 1677680 is about 118.8236920254.

The spelling of 1677680 in words is "one million, six hundred seventy-seven thousand, six hundred eighty".