1688148 has 144 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 423360.

The previous prime is 1688147. The next prime is 1688153. The reversal of 1688148 is 8418861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58198 + ... + 58226.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2^1688148 is an apocalyptic number.

1688148 is a gapful number since it is divisible by the number (18) 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 1688148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

1688148 is an abundant number, since it is smaller than the sum of its proper divisors (4057452).

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

1688148 is a wasteful number, since it uses less digits than its factorization.

1688148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 52 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 1688148 is about 1299.2874970537. The cubic root of 1688148 is about 119.0703159975.

The spelling of 1688148 in words is "one million, six hundred eighty-eight thousand, one hundred forty-eight".