68161200 has 120 divisors (see below), whose sum is σ = 221414400. Its totient is φ = 17921280.

The previous prime is 68161187. The next prime is 68161201. The reversal of 68161200 is 216186.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (68161201) 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, 94441 + ... + 95159.

It is an arithmetic number, because the mean of its divisors is an integer number (1845120).

Almost surely, 2^68161200 is an apocalyptic number.

68161200 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 68161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110707200).

68161200 is an abundant number, since it is smaller than the sum of its proper divisors (153253200).

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

68161200 is a wasteful number, since it uses less digits than its factorization.

68161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 68161200 is about 8255.9796511377. The cubic root of 68161200 is about 408.4877864498.

Adding to 68161200 its reverse (216186), we get a palindrome (68377386).

The spelling of 68161200 in words is "sixty-eight million, one hundred sixty-one thousand, two hundred".