46648 has 32 divisors (see below), whose sum is σ = 108000. Its totient is φ = 18816.

The previous prime is 46643. The next prime is 46649. The reversal of 46648 is 84664.

46648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46643) 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, 2736 + ... + 2752.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

46648 is a Friedman number, since it can be written as 6^6-8-4+4, using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁴⁸ 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 46648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54000).

46648 is an abundant number, since it is smaller than the sum of its proper divisors (61352).

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

46648 is a wasteful number, since it uses less digits than its factorization.

46648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 26 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 46648 is about 215.9814806876. The cubic root of 46648 is about 35.9979422692.

The spelling of 46648 in words is "forty-six thousand, six hundred forty-eight".