46624 has 24 divisors (see below), whose sum is σ = 96768. Its totient is φ = 22080.

The previous prime is 46619. The next prime is 46633. The reversal of 46624 is 42664.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 46595 and 46604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 969 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

46624 is a Friedman number, since it can be written as 6^6-4*4*2, using all its digits and the basic arithmetic operations.

2⁴⁶⁶²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

46624 is an abundant number, since it is smaller than the sum of its proper divisors (50144).

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

46624 is a wasteful number, since it uses less digits than its factorization.

46624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 80 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 46624 is about 215.9259132203. The cubic root of 46624 is about 35.9917676649.

The spelling of 46624 in words is "forty-six thousand, six hundred twenty-four".