61285120 has 144 divisors (see below), whose sum is σ = 164828160. Its totient is φ = 21676032.

The previous prime is 61285117. The next prime is 61285121. The reversal of 61285120 is 2158216.

It is not an unprimeable number, because it can be changed into a prime (61285121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482497 + ... + 482623.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^61285120 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 61285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82414080).

61285120 is an abundant number, since it is smaller than the sum of its proper divisors (103543040).

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

61285120 is a wasteful number, since it uses less digits than its factorization.

61285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 61285120 is about 7828.4813342052. The cubic root of 61285120 is about 394.2620843802.

The spelling of 61285120 in words is "sixty-one million, two hundred eighty-five thousand, one hundred twenty".