61056120 has 128 divisors (see below), whose sum is σ = 196416000. Its totient is φ = 15137280.

The previous prime is 61056113. The next prime is 61056133. The reversal of 61056120 is 2165016.

It is a happy number.

61056120 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 31 ways as a sum of consecutive naturals, for example, 138861 + ... + 139299.

It is an arithmetic number, because the mean of its divisors is an integer number (1534500).

Almost surely, 2^61056120 is an apocalyptic number.

61056120 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 61056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

61056120 is an abundant number, since it is smaller than the sum of its proper divisors (135359880).

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

61056120 is a wasteful number, since it uses less digits than its factorization.

61056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 61056120 is about 7813.8415648130. The cubic root of 61056120 is about 393.7704005555.

The spelling of 61056120 in words is "sixty-one million, fifty-six thousand, one hundred twenty".