68864800 has 72 divisors (see below), whose sum is σ = 171082800. Its totient is φ = 27060480.

The previous prime is 68864767. The next prime is 68864813. The reversal of 68864800 is 846886.

It is a happy number.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46471 + ... + 47929.

It is an arithmetic number, because the mean of its divisors is an integer number (2376150).

Almost surely, 2^68864800 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 68864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85541400).

68864800 is an abundant number, since it is smaller than the sum of its proper divisors (102218000).

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

68864800 is a wasteful number, since it uses less digits than its factorization.

68864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 68864800 is about 8298.4817888575. The cubic root of 68864800 is about 409.8885280932. Note that the first 3 decimals are identical.

The spelling of 68864800 in words is "sixty-eight million, eight hundred sixty-four thousand, eight hundred".