68986400 has 144 divisors (see below), whose sum is σ = 195987456. Its totient is φ = 23224320.

The previous prime is 68986381. The next prime is 68986403. The reversal of 68986400 is 468986.

It is not an unprimeable number, because it can be changed into a prime (68986403) 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, 543137 + ... + 543263.

It is an arithmetic number, because the mean of its divisors is an integer number (1361024).

Almost surely, 2^68986400 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 68986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97993728).

68986400 is an abundant number, since it is smaller than the sum of its proper divisors (127001056).

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

68986400 is a wasteful number, since it uses less digits than its factorization.

68986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 68986400 is about 8305.8051987751. The cubic root of 68986400 is about 410.1296437133.

The spelling of 68986400 in words is "sixty-eight million, nine hundred eighty-six thousand, four hundred".