61359168 has 168 divisors, whose sum is σ = 184440576. Its totient is φ = 17971200.

The previous prime is 61359163. The next prime is 61359173. The reversal of 61359168 is 86195316.

It is an interprime number because it is at equal distance from previous prime (61359163) and next prime (61359173).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (61359163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005858 + ... + 1005918.

Almost surely, 2^61359168 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 61359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92220288).

61359168 is an abundant number, since it is smaller than the sum of its proper divisors (123081408).

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

61359168 is a wasteful number, since it uses less digits than its factorization.

61359168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

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

The square root of 61359168 is about 7833.2093039826. The cubic root of 61359168 is about 394.4208100690.

The spelling of 61359168 in words is "sixty-one million, three hundred fifty-nine thousand, one hundred sixty-eight".