61580961 has 24 divisors (see below), whose sum is σ = 96707520. Its totient is φ = 37534176.

The previous prime is 61580947. The next prime is 61580963. The reversal of 61580961 is 16908516.

It is not a de Polignac number, because 61580961 - 2¹⁰ = 61579937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61580963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10060 + ... + 14978.

It is an arithmetic number, because the mean of its divisors is an integer number (4029480).

Almost surely, 2^61580961 is an apocalyptic number.

It is an amenable number.

61580961 is a deficient number, since it is larger than the sum of its proper divisors (35126559).

61580961 is a wasteful number, since it uses less digits than its factorization.

61580961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 61580961 is about 7847.3537577963. The cubic root of 61580961 is about 394.8954719943.

The spelling of 61580961 in words is "sixty-one million, five hundred eighty thousand, nine hundred sixty-one".