61036020 has 108 divisors (see below), whose sum is σ = 193844196. Its totient is φ = 15544320.

The previous prime is 61036013. The next prime is 61036067. The reversal of 61036020 is 2063016.

It is a happy number.

61036020 is a `hidden beast` number, since 61 + 0 + 3 + 602 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40297104 + 20738916 = 6348^2 + 4554^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 61035984 and 61036002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94900 + ... + 95540.

Almost surely, 2^61036020 is an apocalyptic number.

61036020 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 61036020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96922098).

61036020 is an abundant number, since it is smaller than the sum of its proper divisors (132808176).

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

61036020 is a wasteful number, since it uses less digits than its factorization.

61036020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 61036020 is about 7812.5552798044. Note that the first 3 decimals coincide. The cubic root of 61036020 is about 393.7271853750.

Adding to 61036020 its reverse (2063016), we get a palindrome (63099036).

The spelling of 61036020 in words is "sixty-one million, thirty-six thousand, twenty".