46680 has 32 divisors (see below), whose sum is σ = 140400. Its totient is φ = 12416.

The previous prime is 46679. The next prime is 46681. The reversal of 46680 is 8664.

46680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46679) and next prime (46681).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 46680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46681) 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, 75 + ... + 314.

2⁴⁶⁶⁸⁰ is an apocalyptic number.

46680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46680 is an abundant number, since it is smaller than the sum of its proper divisors (93720).

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 (70200).

46680 is a wasteful number, since it uses less digits than its factorization.

46680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 46680 is about 216.0555484129. The cubic root of 46680 is about 36.0061717814.

Subtracting from 46680 its sum of digits (24), we obtain a 6-th power (46656 = 6⁶).

The spelling of 46680 in words is "forty-six thousand, six hundred eighty".