60420 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 14976.

The previous prime is 60413. The next prime is 60427. The reversal of 60420 is 2406.

60420 = T₃₉ + T₄₀ + ... + T₇₄.

It is an interprime number because it is at equal distance from previous prime (60413) and next prime (60427).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 60396 and 60405.

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 60420.

It is not an unprimeable number, because it can be changed into a prime (60427) by changing a digit.

60420 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 15 ways as a sum of consecutive naturals, for example, 1114 + ... + 1166.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁶⁰⁴²⁰ is an apocalyptic number.

60420 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 60420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

60420 is an abundant number, since it is smaller than the sum of its proper divisors (121020).

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

60420 is a wasteful number, since it uses less digits than its factorization.

60420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 60420 is about 245.8048006041. The cubic root of 60420 is about 39.2398110056.

Adding to 60420 its reverse (2406), we get a palindrome (62826).

It can be divided in two parts, 60 and 420, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 60420 in words is "sixty thousand, four hundred twenty".