61688800 has 72 divisors (see below), whose sum is σ = 155849400. Its totient is φ = 23815680.

The previous prime is 61688761. The next prime is 61688819. The reversal of 61688800 is 888616.

It is a self number, because there is not a number n which added to its sum of digits gives 61688800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21871 + ... + 24529.

It is an arithmetic number, because the mean of its divisors is an integer number (2164575).

Almost surely, 2^61688800 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 61688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77924700).

61688800 is an abundant number, since it is smaller than the sum of its proper divisors (94160600).

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

61688800 is a wasteful number, since it uses less digits than its factorization.

61688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 61688800 is about 7854.2217946783. The cubic root of 61688800 is about 395.1258478457.

The spelling of 61688800 in words is "sixty-one million, six hundred eighty-eight thousand, eight hundred".