46640 has 40 divisors (see below), whose sum is σ = 120528. Its totient is φ = 16640.

The previous prime is 46639. The next prime is 46643. The reversal of 46640 is 4664.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a nialpdrome in base 6 and base 16.

It is not an unprimeable number, because it can be changed into a prime (46643) 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 in 7 ways as a sum of consecutive naturals, for example, 854 + ... + 906.

46640 is a Friedman number, since it can be written as 6^6-4*(4+0), using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁴⁰ is an apocalyptic number.

46640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264).

46640 is an abundant number, since it is smaller than the sum of its proper divisors (73888).

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

46640 is a wasteful number, since it uses less digits than its factorization.

46640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 46640 is about 215.9629597871. The cubic root of 46640 is about 35.9958843032.

46640 divided by its sum of digits (20) gives a palindrome (2332).

Subtracting from 46640 its product of nonzero digits (576), we obtain a palindrome (46064).

It can be divided in two parts, 46 and 640, that added together give a palindrome (686).

The spelling of 46640 in words is "forty-six thousand, six hundred forty".