61608000 has 224 divisors, whose sum is σ = 216822528. Its totient is φ = 15360000.

The previous prime is 61607993. The next prime is 61608011. The reversal of 61608000 is 80616.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407925 + ... + 408075.

Almost surely, 2^61608000 is an apocalyptic number.

61608000 is a gapful number since it is divisible by the number (60) 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 61608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411264).

61608000 is an abundant number, since it is smaller than the sum of its proper divisors (155214528).

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

61608000 is a wasteful number, since it uses less digits than its factorization.

61608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

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

The square root of 61608000 is about 7849.0763787850. The cubic root of 61608000 is about 394.9532605061.

Adding to 61608000 its reverse (80616), we get a palindrome (61688616).

The spelling of 61608000 in words is "sixty-one million, six hundred eight thousand".