1688960 has 128 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 516096.

The previous prime is 1688927. The next prime is 1688969. The reversal of 1688960 is 698861.

1688960 = T₂₉₃ + T₂₉₄ + ... + T₃₂₇.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58226 + ... + 58254.

2^1688960 is an apocalyptic number.

1688960 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 1688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

1688960 is an abundant number, since it is smaller than the sum of its proper divisors (3451840).

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

1688960 is a wasteful number, since it uses less digits than its factorization.

1688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 1688960 is about 1299.5999384426. The cubic root of 1688960 is about 119.0894038972.

Subtracting from 1688960 its reverse (698861), we obtain a palindrome (990099).

The spelling of 1688960 in words is "one million, six hundred eighty-eight thousand, nine hundred sixty".