46736 has 20 divisors (see below), whose sum is σ = 95232. Its totient is φ = 22176.

The previous prime is 46727. The next prime is 46747. The reversal of 46736 is 63764.

It is a d-powerful number, because it can be written as 4³ + 6 + 7 + 3 + 6⁶ .

It is an unprimeable number.

46736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 305 + ... + 431.

2⁴⁶⁷³⁶ is an apocalyptic number.

46736 is a gapful number since it is divisible by the number (46) 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 46736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616).

46736 is an abundant number, since it is smaller than the sum of its proper divisors (48496).

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

46736 is a wasteful number, since it uses less digits than its factorization.

46736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 3024, while the sum is 26.

The square root of 46736 is about 216.1851058699. The cubic root of 46736 is about 36.0205643824.

It can be divided in two parts, 46 and 736, that multiplied together give a square (33856 = 184²).

The spelling of 46736 in words is "forty-six thousand, seven hundred thirty-six".