61608 has 32 divisors (see below), whose sum is σ = 164160. Its totient is φ = 19200.

The previous prime is 61603. The next prime is 61609. The reversal of 61608 is 80616.

61608 = 52² + 53² + ... + 68².

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (61603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2⁶¹⁶⁰⁸ is an apocalyptic number.

61608 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

61608 is an abundant number, since it is smaller than the sum of its proper divisors (102552).

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

61608 is a wasteful number, since it uses less digits than its factorization.

61608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61608 is about 248.2095888559. The cubic root of 61608 is about 39.4953260506.

The spelling of 61608 in words is "sixty-one thousand, six hundred eight".