61020 has 48 divisors (see below), whose sum is σ = 191520. Its totient is φ = 16128.

The previous prime is 61007. The next prime is 61027. The reversal of 61020 is 2016.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 60993 and 61011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61027) by changing a digit.

61020 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, 484 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2⁶¹⁰²⁰ is an apocalyptic number.

61020 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 61020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

61020 is an abundant number, since it is smaller than the sum of its proper divisors (130500).

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

61020 is a wasteful number, since it uses less digits than its factorization.

61020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 61020 is about 247.0222662029. The cubic root of 61020 is about 39.3692735436.

Adding to 61020 its reverse (2016), we get a palindrome (63036).

It can be divided in two parts, 610 and 20, that added together give a triangular number (630 = T₃₅).

The spelling of 61020 in words is "sixty-one thousand, twenty".