61158120 has 64 divisors (see below), whose sum is σ = 184965120. Its totient is φ = 16176384.

The previous prime is 61158107. The next prime is 61158121. The reversal of 61158120 is 2185116.

61158120 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 (24).

It is not an unprimeable number, because it can be changed into a prime (61158121) 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 15 ways as a sum of consecutive naturals, for example, 13234 + ... + 17246.

It is an arithmetic number, because the mean of its divisors is an integer number (2890080).

Almost surely, 2^61158120 is an apocalyptic number.

61158120 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 61158120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92482560).

61158120 is an abundant number, since it is smaller than the sum of its proper divisors (123807000).

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

61158120 is a wasteful number, since it uses less digits than its factorization.

61158120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 61158120 is about 7820.3657203484. The cubic root of 61158120 is about 393.9895554104.

The spelling of 61158120 in words is "sixty-one million, one hundred fifty-eight thousand, one hundred twenty".