1688160 has 48 divisors (see below), whose sum is σ = 5319216. Its totient is φ = 450048.

The previous prime is 1688153. The next prime is 1688161. The reversal of 1688160 is 618861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1279 + ... + 2238.

It is an arithmetic number, because the mean of its divisors is an integer number (110817).

2^1688160 is an apocalyptic number.

1688160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1688160 is an abundant number, since it is smaller than the sum of its proper divisors (3631056).

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

1688160 is a wasteful number, since it uses less digits than its factorization.

1688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1688160 is about 1299.2921149611. The cubic root of 1688160 is about 119.0705981293.

The spelling of 1688160 in words is "one million, six hundred eighty-eight thousand, one hundred sixty".