68450400 has 144 divisors (see below), whose sum is σ = 247640400. Its totient is φ = 18247680.

The previous prime is 68450363. The next prime is 68450423. The reversal of 68450400 is 405486.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 20016 + ... + 23184.

It is an arithmetic number, because the mean of its divisors is an integer number (1719725).

Almost surely, 2^68450400 is an apocalyptic number.

68450400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123820200).

68450400 is an abundant number, since it is smaller than the sum of its proper divisors (179190000).

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

68450400 is a wasteful number, since it uses less digits than its factorization.

68450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 68450400 is about 8273.4756904218. The cubic root of 68450400 is about 409.0646932695.

Adding to 68450400 its reverse (405486), we get a palindrome (68855886).

The spelling of 68450400 in words is "sixty-eight million, four hundred fifty thousand, four hundred".