61185880 has 32 divisors (see below), whose sum is σ = 157335840. Its totient is φ = 20977920.

The previous prime is 61185863. The next prime is 61185881. The reversal of 61185880 is 8858116.

It is a super-2 number, since 2×61185880² = 7487423822748800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61185881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108981 + ... + 109540.

It is an arithmetic number, because the mean of its divisors is an integer number (4916745).

Almost surely, 2^61185880 is an apocalyptic number.

It is an amenable number.

61185880 is an abundant number, since it is smaller than the sum of its proper divisors (96149960).

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

61185880 is a wasteful number, since it uses less digits than its factorization.

61185880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218539 (or 218535 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 37.

The square root of 61185880 is about 7822.1403720465. The cubic root of 61185880 is about 394.0491577203.

The spelling of 61185880 in words is "sixty-one million, one hundred eighty-five thousand, eight hundred eighty".