68112000 has 384 divisors, whose sum is σ = 273049920. Its totient is φ = 16128000.

The previous prime is 68111987. The next prime is 68112001. The reversal of 68112000 is 21186.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (68112001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583979 + ... + 1584021.

Almost surely, 2^68112000 is an apocalyptic number.

68112000 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 68112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136524960).

68112000 is an abundant number, since it is smaller than the sum of its proper divisors (204937920).

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

68112000 is a wasteful number, since it uses less digits than its factorization.

68112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 68112000 is about 8252.9994547437. Note that the first 3 decimals coincide. The cubic root of 68112000 is about 408.3894781422.

Adding to 68112000 its reverse (21186), we get a palindrome (68133186).

The spelling of 68112000 in words is "sixty-eight million, one hundred twelve thousand".