46688 has 12 divisors (see below), whose sum is σ = 91980. Its totient is φ = 23328.

The previous prime is 46687. The next prime is 46691. The reversal of 46688 is 88664.

46688 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 1459 = 46688 / (4 + 6 + 6 + 8 + 8).

It is a plaindrome in base 10.

It is a nialpdrome in base 16.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 698 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (7665).

46688 is a Friedman number, since it can be written as 6^6+8*(8-4), using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

46688 is a deficient number, since it is larger than the sum of its proper divisors (45292).

46688 is a wasteful number, since it uses less digits than its factorization.

46688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1461 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 46688 is about 216.0740613771. The cubic root of 46688 is about 36.0082285717.

Subtracting from 46688 its sum of digits (32), we obtain a 6-th power (46656 = 6⁶).

The spelling of 46688 in words is "forty-six thousand, six hundred eighty-eight".