61598016 has 112 divisors (see below), whose sum is σ = 185521600. Its totient is φ = 20030976.

The previous prime is 61598003. The next prime is 61598027. The reversal of 61598016 is 61089516.

61598016 is a `hidden beast` number, since 61 + 598 + 0 + 1 + 6 = 666.

61598016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 73890 + ... + 74718.

Almost surely, 2^61598016 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 61598016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92760800).

61598016 is an abundant number, since it is smaller than the sum of its proper divisors (123923584).

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

61598016 is a wasteful number, since it uses less digits than its factorization.

61598016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 61598016 is about 7848.4403546182. The cubic root of 61598016 is about 394.9319243896.

The spelling of 61598016 in words is "sixty-one million, five hundred ninety-eight thousand, sixteen".