61580000 has 60 divisors (see below), whose sum is σ = 151545240. Its totient is φ = 24624000.

The previous prime is 61579997. The next prime is 61580009. The reversal of 61580000 is 8516.

61580000 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61580009) 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 9 ways as a sum of consecutive naturals, for example, 18461 + ... + 21539.

It is an arithmetic number, because the mean of its divisors is an integer number (2525754).

Almost surely, 2^61580000 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 61580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75772620).

61580000 is an abundant number, since it is smaller than the sum of its proper divisors (89965240).

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

61580000 is an equidigital number, since it uses as much as digits as its factorization.

61580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 61580000 is about 7847.2925267254. The cubic root of 61580000 is about 394.8934178067.

Adding to 61580000 its reverse (8516), we get a palindrome (61588516).

The spelling of 61580000 in words is "sixty-one million, five hundred eighty thousand".