61586080 has 24 divisors (see below), whose sum is σ = 145497492. Its totient is φ = 24634368.

The previous prime is 61586071. The next prime is 61586089. The reversal of 61586080 is 8068516.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61586071) and next prime (61586089).

It can be written as a sum of positive squares in 2 ways, for example, as 61402896 + 183184 = 7836^2 + 428^2 .

It is not an unprimeable number, because it can be changed into a prime (61586089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 192297 + ... + 192616.

Almost surely, 2^61586080 is an apocalyptic number.

It is an amenable number.

61586080 is an abundant number, since it is smaller than the sum of its proper divisors (83911412).

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

61586080 is a wasteful number, since it uses less digits than its factorization.

61586080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384928 (or 384920 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 61586080 is about 7847.6799119230. The cubic root of 61586080 is about 394.9064137630.

The spelling of 61586080 in words is "sixty-one million, five hundred eighty-six thousand, eighty".