46368 has 72 divisors (see below), whose sum is σ = 157248. Its totient is φ = 12672.

The previous prime is 46351. The next prime is 46381. The reversal of 46368 is 86364.

It is the 24-th Fibonacci number F₂₄.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6 and base 16.

It is a zygodrome in base 6.

It is an unprimeable number.

46368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2005 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

46368 is a Friedman number, since it can be written as 36*(6^4-8), using all its digits and the basic arithmetic operations.

2⁴⁶³⁶⁸ is an apocalyptic number.

46368 is a gapful number since it is divisible by the number (48) 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 46368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

46368 is an abundant number, since it is smaller than the sum of its proper divisors (110880).

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

46368 is a wasteful number, since it uses less digits than its factorization.

46368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 35 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 46368 is about 215.3323013391. The cubic root of 46368 is about 35.9257729853.

It can be divided in two parts, 46 and 368, that added together give a palindrome (414).

The spelling of 46368 in words is "forty-six thousand, three hundred sixty-eight".