61582656 has 56 divisors (see below), whose sum is σ = 166932864. Its totient is φ = 20024320.

The previous prime is 61582649. The next prime is 61582657. The reversal of 61582656 is 65628516.

61582656 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 not an unprimeable number, because it can be changed into a prime (61582657) by changing a digit.

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, 3961 + ... + 11783.

It is an arithmetic number, because the mean of its divisors is an integer number (2980944).

Almost surely, 2^61582656 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 61582656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83466432).

61582656 is an abundant number, since it is smaller than the sum of its proper divisors (105350208).

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

61582656 is a wasteful number, since it uses less digits than its factorization.

61582656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7869 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 61582656 is about 7847.4617552429. The cubic root of 61582656 is about 394.8990950929.

The spelling of 61582656 in words is "sixty-one million, five hundred eighty-two thousand, six hundred fifty-six".