61302020 has 48 divisors (see below), whose sum is σ = 139729968. Its totient is φ = 22456320.

The previous prime is 61302019. The next prime is 61302049. The reversal of 61302020 is 2020316.

It can be written as a sum of positive squares in 8 ways, for example, as 586756 + 60715264 = 766^2 + 7792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61301986 and 61302004.

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, 34760 + ... + 36480.

It is an arithmetic number, because the mean of its divisors is an integer number (2911041).

Almost surely, 2^61302020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69864984).

61302020 is an abundant number, since it is smaller than the sum of its proper divisors (78427948).

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

61302020 is a wasteful number, since it uses less digits than its factorization.

61302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 61302020 is about 7829.5606517863. The cubic root of 61302020 is about 394.2983216531.

Adding to 61302020 its reverse (2020316), we get a palindrome (63322336).

The spelling of 61302020 in words is "sixty-one million, three hundred two thousand, twenty".