39420 has 48 divisors (see below), whose sum is σ = 124320. Its totient is φ = 10368.

The previous prime is 39419. The next prime is 39439. The reversal of 39420 is 2493.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3³ + 9⁴ + 4³ + 2¹⁵ + 0 .

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 39393 and 39402.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (2590).

2³⁹⁴²⁰ is an apocalyptic number.

39420 is a gapful number since it is divisible by the number (30) 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 39420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62160).

39420 is an abundant number, since it is smaller than the sum of its proper divisors (84900).

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

39420 is a wasteful number, since it uses less digits than its factorization.

39420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 39420 is about 198.5447052933. The cubic root of 39420 is about 34.0334158211.

Subtracting from 39420 its product of nonzero digits (216), we obtain a square (39204 = 198²).

It can be divided in two parts, 394 and 20, that added together give a palindrome (414).

The spelling of 39420 in words is "thirty-nine thousand, four hundred twenty".