41680 has 20 divisors (see below), whose sum is σ = 97092. Its totient is φ = 16640.

The previous prime is 41669. The next prime is 41681. The reversal of 41680 is 8614.

41680 = T₃₇ + T₃₈ + ... + T₆₆.

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 28224 = 116^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41681) by changing a digit.

41680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181 + ... + 340.

2⁴¹⁶⁸⁰ is an apocalyptic number.

41680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41680 is an abundant number, since it is smaller than the sum of its proper divisors (55412).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48546).

41680 is a wasteful number, since it uses less digits than its factorization.

41680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 41680 is about 204.1568024828. The cubic root of 41680 is about 34.6717612500.

It can be divided in two parts, 416 and 80, that added together give a triangular number (496 = T₃₁).

The spelling of 41680 in words is "forty-one thousand, six hundred eighty".