61580960 has 48 divisors (see below), whose sum is σ = 166271616. Its totient is φ = 21113088.

The previous prime is 61580947. The next prime is 61580963. The reversal of 61580960 is 6908516.

61580960 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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 61580960.

It is not an unprimeable number, because it can be changed into a prime (61580963) 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 7 ways as a sum of consecutive naturals, for example, 26372 + ... + 28611.

It is an arithmetic number, because the mean of its divisors is an integer number (3463992).

Almost surely, 2^61580960 is an apocalyptic number.

It is an amenable number.

61580960 is an abundant number, since it is smaller than the sum of its proper divisors (104690656).

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

61580960 is a wasteful number, since it uses less digits than its factorization.

61580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55005 (or 54997 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 61580960 is about 7847.3536940806. The cubic root of 61580960 is about 394.8954698567.

The spelling of 61580960 in words is "sixty-one million, five hundred eighty thousand, nine hundred sixty".