61117056 has 384 divisors, whose sum is σ = 240589440. Its totient is φ = 14376960.

The previous prime is 61117031. The next prime is 61117073. The reversal of 61117056 is 65071116.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153126 + ... + 1153178.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^61117056 is an apocalyptic number.

61117056 is a gapful number since it is divisible by the number (66) 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 61117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

61117056 is an abundant number, since it is smaller than the sum of its proper divisors (179472384).

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

61117056 is a wasteful number, since it uses less digits than its factorization.

61117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 61117056 is about 7817.7398268297. The cubic root of 61117056 is about 393.9013555688.

The spelling of 61117056 in words is "sixty-one million, one hundred seventeen thousand, fifty-six".