68068000 has 384 divisors, whose sum is σ = 237758976. Its totient is φ = 18432000.

The previous prime is 68067997. The next prime is 68068003. The reversal of 68068000 is 86086.

It is an interprime number because it is at equal distance from previous prime (68067997) and next prime (68068003).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 68068000.

It is not an unprimeable number, because it can be changed into a prime (68068003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003992 + ... + 4004008.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 2^68068000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488).

68068000 is an abundant number, since it is smaller than the sum of its proper divisors (169690976).

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

68068000 is a wasteful number, since it uses less digits than its factorization.

68068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 68068000 is about 8250.3333265996. Note that the first 4 decimals coincide. The cubic root of 68068000 is about 408.3015200353.

It can be divided in two parts, 680 and 68000, that multiplied together give a square (46240000 = 6800²).

The spelling of 68068000 in words is "sixty-eight million, sixty-eight thousand".