61539168 has 96 divisors (see below), whose sum is σ = 172440576. Its totient is φ = 19171328.

The previous prime is 61539143. The next prime is 61539169. The reversal of 61539168 is 86193516.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61539169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103480 + ... + 104072.

It is an arithmetic number, because the mean of its divisors is an integer number (1796256).

Almost surely, 2^61539168 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 61539168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86220288).

61539168 is an abundant number, since it is smaller than the sum of its proper divisors (110901408).

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

61539168 is a wasteful number, since it uses less digits than its factorization.

61539168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 61539168 is about 7844.6904336628. The cubic root of 61539168 is about 394.8061175296.

The spelling of 61539168 in words is "sixty-one million, five hundred thirty-nine thousand, one hundred sixty-eight".