1680261 has 16 divisors (see below), whose sum is σ = 2488320. Its totient is φ = 999920.

The previous prime is 1680253. The next prime is 1680269. The reversal of 1680261 is 1620861.

It is an interprime number because it is at equal distance from previous prime (1680253) and next prime (1680269).

It is a cyclic number.

It is not a de Polignac number, because 1680261 - 2³ = 1680253 is a prime.

It is a Curzon number.

1680261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680269) 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, 1516 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

2^1680261 is an apocalyptic number.

1680261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1680261 is a deficient number, since it is larger than the sum of its proper divisors (808059).

1680261 is a wasteful number, since it uses less digits than its factorization.

1680261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1680261 is about 1296.2488187073. The cubic root of 1680261 is about 118.8845949414.

The spelling of 1680261 in words is "one million, six hundred eighty thousand, two hundred sixty-one".