61580880 has 180 divisors, whose sum is σ = 216096660. Its totient is φ = 15713280.

The previous prime is 61580879. The next prime is 61580887. The reversal of 61580880 is 8808516.

61580880 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 2 ways, for example, as 16744464 + 44836416 = 4092^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61580887) 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 35 ways as a sum of consecutive naturals, for example, 691876 + ... + 691964.

It is an arithmetic number, because the mean of its divisors is an integer number (1200537).

Almost surely, 2^61580880 is an apocalyptic number.

61580880 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 61580880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108048330).

61580880 is an abundant number, since it is smaller than the sum of its proper divisors (154515780).

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

61580880 is a wasteful number, since it uses less digits than its factorization.

61580880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 61580880 is about 7847.3485968192. The cubic root of 61580880 is about 394.8952988534.

The spelling of 61580880 in words is "sixty-one million, five hundred eighty thousand, eight hundred eighty".