68676000 has 192 divisors, whose sum is σ = 231154560. Its totient is φ = 17817600.

The previous prime is 68675993. The next prime is 68676011. The reversal of 68676000 is 67686.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707952 + ... + 708048.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^68676000 is an apocalyptic number.

68676000 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 68676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

68676000 is an abundant number, since it is smaller than the sum of its proper divisors (162478560).

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

68676000 is a wasteful number, since it uses less digits than its factorization.

68676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 68676000 is about 8287.0984065594. The cubic root of 68676000 is about 409.5136012633.

The spelling of 68676000 in words is "sixty-eight million, six hundred seventy-six thousand".