61000420 has 96 divisors (see below), whose sum is σ = 150419808. Its totient is φ = 20570112.

The previous prime is 61000417. The next prime is 61000421. The reversal of 61000420 is 2400016.

61000420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 4088484 + 56911936 = 2022^2 + 7544^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 61000420.

It is not an unprimeable number, because it can be changed into a prime (61000421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 163354 + ... + 163726.

It is an arithmetic number, because the mean of its divisors is an integer number (1566873).

Almost surely, 2^61000420 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 61000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209904).

61000420 is an abundant number, since it is smaller than the sum of its proper divisors (89419388).

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

61000420 is a wasteful number, since it uses less digits than its factorization.

61000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 61000420 is about 7810.2765636052. The cubic root of 61000420 is about 393.6506217665.

Adding to 61000420 its reverse (2400016), we get a palindrome (63400436).

The spelling of 61000420 in words is "sixty-one million, four hundred twenty", and thus it is an aban number.