1680948 has 36 divisors (see below), whose sum is σ = 4334148. Its totient is φ = 549120.

The previous prime is 1680929. The next prime is 1680961. The reversal of 1680948 is 8490861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 736164 + 944784 = 858^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1468 + ... + 2348.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

2^1680948 is an apocalyptic number.

1680948 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 1680948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167074).

1680948 is an abundant number, since it is smaller than the sum of its proper divisors (2653200).

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

1680948 is a wasteful number, since it uses less digits than its factorization.

1680948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1680948 is about 1296.5137870459. The cubic root of 1680948 is about 118.9007953190.

It can be divided in two parts, 1680 and 948, that added together give a triangular number (2628 = T₇₂).

The spelling of 1680948 in words is "one million, six hundred eighty thousand, nine hundred forty-eight".