61027020 has 144 divisors (see below), whose sum is σ = 199049760. Its totient is φ = 15676416.

The previous prime is 61027013. The next prime is 61027039. The reversal of 61027020 is 2072016.

61027020 = 138² + 139² + ... + 570².

It is a happy number.

61027020 is digitally balanced in base 2, because in such base 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 61026984 and 61027002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140724 + ... + 141156.

It is an arithmetic number, because the mean of its divisors is an integer number (1382290).

Almost surely, 2^61027020 is an apocalyptic number.

61027020 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 61027020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524880).

61027020 is an abundant number, since it is smaller than the sum of its proper divisors (138022740).

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

61027020 is a wasteful number, since it uses less digits than its factorization.

61027020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 61027020 is about 7811.9792626453. The cubic root of 61027020 is about 393.7078322190.

Adding to 61027020 its reverse (2072016), we get a palindrome (63099036).

The spelling of 61027020 in words is "sixty-one million, twenty-seven thousand, twenty".