68141400 has 72 divisors (see below), whose sum is σ = 211867020. Its totient is φ = 18117120.

The previous prime is 68141363. The next prime is 68141407. The reversal of 68141400 is 414186.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68141407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202032 + ... + 202368.

Almost surely, 2^68141400 is an apocalyptic number.

68141400 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 68141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105933510).

68141400 is an abundant number, since it is smaller than the sum of its proper divisors (143725620).

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

68141400 is a wasteful number, since it uses less digits than its factorization.

68141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 68141400 is about 8254.7804331793. The cubic root of 68141400 is about 408.4482290405.

Multiplying 68141400 by its sum of digits (24), we get a square (1635393600 = 40440²).

68141400 divided by its sum of digits (24) gives a square (2839225 = 1685²).

Adding to 68141400 its reverse (414186), we get a palindrome (68555586).

The spelling of 68141400 in words is "sixty-eight million, one hundred forty-one thousand, four hundred".