39468 has 48 divisors (see below), whose sum is σ = 112896. Its totient is φ = 10560.
The previous prime is 39461. The next prime is 39499. The reversal of 39468 is 86493.
Its product of digits (5184) is a multiple of the sum of its prime factors (54).
It is a nialpdrome in base 15.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (39461) by changing a digit.
39468 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 15 ways as a sum of consecutive naturals, for example, 1705 + ... + 1727.
It is an arithmetic number, because the mean of its divisors is an integer number (2352).
239468 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 39468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448).
39468 is an abundant number, since it is smaller than the sum of its proper divisors (73428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
39468 is a wasteful number, since it uses less digits than its factorization.
39468 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54 (or 52 counting only the distinct ones).
The product of its digits is 5184, while the sum is 30.
The square root of 39468 is about 198.6655480953. The cubic root of 39468 is about 34.0472238826.
The spelling of 39468 in words is "thirty-nine thousand, four hundred sixty-eight".
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