1680500 has 24 divisors (see below), whose sum is σ = 3671304. Its totient is φ = 672000.

The previous prime is 1680491. The next prime is 1680509. The reversal of 1680500 is 50861.

It is an interprime number because it is at equal distance from previous prime (1680491) and next prime (1680509).

It can be written as a sum of positive squares in 4 ways, for example, as 11236 + 1669264 = 106^2 + 1292^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680509) 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, 1181 + ... + 2180.

It is an arithmetic number, because the mean of its divisors is an integer number (152971).

2^1680500 is an apocalyptic number.

1680500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680500 is an abundant number, since it is smaller than the sum of its proper divisors (1990804).

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

1680500 is a wasteful number, since it uses less digits than its factorization.

1680500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1680500 is about 1296.3410045200. The cubic root of 1680500 is about 118.8902313814.

The spelling of 1680500 in words is "one million, six hundred eighty thousand, five hundred".