68561800 has 48 divisors (see below), whose sum is σ = 164916900. Its totient is φ = 26476800.

The previous prime is 68561797. The next prime is 68561869. The reversal of 68561800 is 816586.

68561800 = T₃₇₄ + T₃₇₅ + ... + T₇₇₃.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13118884 + 55442916 = 3622^2 + 7446^2 .

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, 111 + ... + 11710.

Almost surely, 2^68561800 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 68561800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82458450).

68561800 is an abundant number, since it is smaller than the sum of its proper divisors (96355100).

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

68561800 is a wasteful number, since it uses less digits than its factorization.

68561800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11866 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 68561800 is about 8280.2053114642. The cubic root of 68561800 is about 409.2864845627.

The spelling of 68561800 in words is "sixty-eight million, five hundred sixty-one thousand, eight hundred".