61596048 has 80 divisors (see below), whose sum is σ = 163918080. Its totient is φ = 19924608.

The previous prime is 61596037. The next prime is 61596053. The reversal of 61596048 is 84069516.

61596048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61595997 and 61596015.

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 15 ways as a sum of consecutive naturals, for example, 344023 + ... + 344201.

It is an arithmetic number, because the mean of its divisors is an integer number (2048976).

Almost surely, 2^61596048 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 61596048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

61596048 is an abundant number, since it is smaller than the sum of its proper divisors (102322032).

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

61596048 is a wasteful number, since it uses less digits than its factorization.

61596048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 61596048 is about 7848.3149783887. The cubic root of 61596048 is about 394.9277184408.

The spelling of 61596048 in words is "sixty-one million, five hundred ninety-six thousand, forty-eight".