68520800 has 72 divisors (see below), whose sum is σ = 169192296. Its totient is φ = 27095040.

The previous prime is 68520791. The next prime is 68520817. The reversal of 68520800 is 802586.

It is a happy number.

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, 77159 + ... + 78041.

It is an arithmetic number, because the mean of its divisors is an integer number (2349893).

Almost surely, 2^68520800 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 68520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84596148).

68520800 is an abundant number, since it is smaller than the sum of its proper divisors (100671496).

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

68520800 is a wasteful number, since it uses less digits than its factorization.

68520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 68520800 is about 8277.7291572025. The cubic root of 68520800 is about 409.2048837688.

The spelling of 68520800 in words is "sixty-eight million, five hundred twenty thousand, eight hundred".