64020 has 48 divisors (see below), whose sum is σ = 197568. Its totient is φ = 15360.

The previous prime is 64019. The next prime is 64033. The reversal of 64020 is 2046.

Added to its reverse (2046) it gives a triangular number (66066 = T₃₆₃).

64020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 63987 and 64005.

It is a congruent number.

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, 612 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (4116).

2⁶⁴⁰²⁰ is an apocalyptic number.

64020 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 64020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98784).

64020 is an abundant number, since it is smaller than the sum of its proper divisors (133548).

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

64020 is a wasteful number, since it uses less digits than its factorization.

64020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

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

The square root of 64020 is about 253.0217381965. The cubic root of 64020 is about 40.0041662327.

64020 divided by its sum of digits (12) gives a palindrome (5335).

Adding to 64020 its reverse (2046), we get a palindrome (66066).

The spelling of 64020 in words is "sixty-four thousand, twenty".