68420800 has 168 divisors, whose sum is σ = 198424800. Its totient is φ = 22732800.

The previous prime is 68420761. The next prime is 68420857. The reversal of 68420800 is 802486.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459126 + ... + 459274.

It is an arithmetic number, because the mean of its divisors is an integer number (1181100).

Almost surely, 2^68420800 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 68420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99212400).

68420800 is an abundant number, since it is smaller than the sum of its proper divisors (130004000).

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

68420800 is a wasteful number, since it uses less digits than its factorization.

68420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 68420800 is about 8271.6866478367. The cubic root of 68420800 is about 409.0057208327.

The spelling of 68420800 in words is "sixty-eight million, four hundred twenty thousand, eight hundred".