61056736 has 48 divisors (see below), whose sum is σ = 130140864. Its totient is φ = 28030464.

The previous prime is 61056727. The next prime is 61056757. The reversal of 61056736 is 63765016.

It is a happy number.

61056736 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 7 ways as a sum of consecutive naturals, for example, 131641 + ... + 132103.

It is an arithmetic number, because the mean of its divisors is an integer number (2711268).

Almost surely, 2^61056736 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 61056736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65070432).

61056736 is an abundant number, since it is smaller than the sum of its proper divisors (69084128).

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

61056736 is a wasteful number, since it uses less digits than its factorization.

61056736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 61056736 is about 7813.8809819449. The cubic root of 61056736 is about 393.7717248112.

The spelling of 61056736 in words is "sixty-one million, fifty-six thousand, seven hundred thirty-six".