61195120 has 120 divisors (see below), whose sum is σ = 168699024. Its totient is φ = 20579328.

The previous prime is 61195061. The next prime is 61195171. The reversal of 61195120 is 2159116.

61195120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 262524 + ... + 262756.

Almost surely, 2^61195120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61195120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84349512).

61195120 is an abundant number, since it is smaller than the sum of its proper divisors (107503904).

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

61195120 is a wasteful number, since it uses less digits than its factorization.

61195120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 61195120 is about 7822.7309809299. The cubic root of 61195120 is about 394.0689925305.

The spelling of 61195120 in words is "sixty-one million, one hundred ninety-five thousand, one hundred twenty".