61542180 has 216 divisors, whose sum is σ = 224847168. Its totient is φ = 13856832.

The previous prime is 61542167. The next prime is 61542199. The reversal of 61542180 is 8124516.

61542180 is a `hidden beast` number, since 615 + 42 + 1 + 8 + 0 = 666.

61542180 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 (27).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 918507 + ... + 918573.

Almost surely, 2^61542180 is an apocalyptic number.

61542180 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 61542180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112423584).

61542180 is an abundant number, since it is smaller than the sum of its proper divisors (163304988).

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

61542180 is an equidigital number, since it uses as much as digits as its factorization.

61542180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 61542180 is about 7844.8824082965. The cubic root of 61542180 is about 394.8125586123.

Adding to 61542180 its reverse (8124516), we get a palindrome (69666696).

The spelling of 61542180 in words is "sixty-one million, five hundred forty-two thousand, one hundred eighty".