46608 has 20 divisors (see below), whose sum is σ = 120528. Its totient is φ = 15520.

The previous prime is 46601. The next prime is 46619. The reversal of 46608 is 80664.

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

It is a nialpdrome in base 6 and base 16.

It is not an unprimeable number, because it can be changed into a prime (46601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 438 + ... + 533.

46608 is a Friedman number, since it can be written as 6^6-48-0, using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁰⁸ is an apocalyptic number.

46608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46608 is an abundant number, since it is smaller than the sum of its proper divisors (73920).

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 (60264).

46608 is a wasteful number, since it uses less digits than its factorization.

46608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

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

The square root of 46608 is about 215.8888602962. Note that the first 4 decimals coincide. The cubic root of 46608 is about 35.9876500848.

The spelling of 46608 in words is "forty-six thousand, six hundred eight".