61537168 has 80 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 23760000.

The previous prime is 61537163. The next prime is 61537183. The reversal of 61537168 is 86173516.

It is not an unprimeable number, because it can be changed into a prime (61537163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245043 + ... + 245293.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^61537168 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 61537168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

61537168 is an abundant number, since it is smaller than the sum of its proper divisors (88453232).

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

61537168 is a wasteful number, since it uses less digits than its factorization.

61537168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 61537168 is about 7844.5629578709. The cubic root of 61537168 is about 394.8018404661.

The spelling of 61537168 in words is "sixty-one million, five hundred thirty-seven thousand, one hundred sixty-eight".