68201400 has 96 divisors (see below), whose sum is σ = 212865840. Its totient is φ = 18063360.

The previous prime is 68201389. The next prime is 68201401. The reversal of 68201400 is 410286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68201401) 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 23 ways as a sum of consecutive naturals, for example, 117912 + ... + 118488.

Almost surely, 2^68201400 is an apocalyptic number.

68201400 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 68201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106432920).

68201400 is an abundant number, since it is smaller than the sum of its proper divisors (144664440).

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

68201400 is a wasteful number, since it uses less digits than its factorization.

68201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 68201400 is about 8258.4138912990. The cubic root of 68201400 is about 408.5680764182.

Adding to 68201400 its reverse (410286), we get a palindrome (68611686).

The spelling of 68201400 in words is "sixty-eight million, two hundred one thousand, four hundred".