61718800 has 180 divisors, whose sum is σ = 177269904. Its totient is φ = 20467200.

The previous prime is 61718759. The next prime is 61718801. The reversal of 61718800 is 881716.

It is not an unprimeable number, because it can be changed into a prime (61718801) 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 35 ways as a sum of consecutive naturals, for example, 743559 + ... + 743641.

Almost surely, 2^61718800 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 61718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88634952).

61718800 is an abundant number, since it is smaller than the sum of its proper divisors (115551104).

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

61718800 is a wasteful number, since it uses less digits than its factorization.

61718800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 61718800 is about 7856.1313634638. The cubic root of 61718800 is about 395.1898889380.

The spelling of 61718800 in words is "sixty-one million, seven hundred eighteen thousand, eight hundred".