63420 has 48 divisors (see below), whose sum is σ = 204288. Its totient is φ = 14400.

The previous prime is 63419. The next prime is 63421. The reversal of 63420 is 2436.

It is an interprime number because it is at equal distance from previous prime (63419) and next prime (63421).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 63420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (4256).

2⁶³⁴²⁰ is an apocalyptic number.

63420 is a gapful number since it is divisible by the number (60) 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 63420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102144).

63420 is an abundant number, since it is smaller than the sum of its proper divisors (140868).

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

63420 is a wasteful number, since it uses less digits than its factorization.

63420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 63420 is about 251.8332781822. The cubic root of 63420 is about 39.8787998004.

Adding to 63420 its reverse (2436), we get a palindrome (65856).

The spelling of 63420 in words is "sixty-three thousand, four hundred twenty".