61875168 has 48 divisors (see below), whose sum is σ = 165500496. Its totient is φ = 20234240.

The previous prime is 61875157. The next prime is 61875169. The reversal of 61875168 is 86157816.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61875169) 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 7 ways as a sum of consecutive naturals, for example, 993 + ... + 11168.

It is an arithmetic number, because the mean of its divisors is an integer number (3447927).

Almost surely, 2^61875168 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 61875168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82750248).

61875168 is an abundant number, since it is smaller than the sum of its proper divisors (103625328).

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

61875168 is a wasteful number, since it uses less digits than its factorization.

61875168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227 (or 12219 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 61875168 is about 7866.0770400499. The cubic root of 61875168 is about 395.5233526412.

The spelling of 61875168 in words is "sixty-one million, eight hundred seventy-five thousand, one hundred sixty-eight".