68182400 has 192 divisors, whose sum is σ = 199206000. Its totient is φ = 22732800.

The previous prime is 68182399. The next prime is 68182409. The reversal of 68182400 is 428186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68182409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457526 + ... + 457674.

Almost surely, 2^68182400 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 68182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99603000).

68182400 is an abundant number, since it is smaller than the sum of its proper divisors (131023600).

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

68182400 is a wasteful number, since it uses less digits than its factorization.

68182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 68182400 is about 8257.2634692130. The cubic root of 68182400 is about 408.5301323563.

The spelling of 68182400 in words is "sixty-eight million, one hundred eighty-two thousand, four hundred".