68416000 has 80 divisors (see below), whose sum is σ = 170759160. Its totient is φ = 27340800.

The previous prime is 68415931. The next prime is 68416013. The reversal of 68416000 is 61486.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 49336576 = 4368^2 + 7024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63466 + ... + 64534.

Almost surely, 2^68416000 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 68416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85379580).

68416000 is an abundant number, since it is smaller than the sum of its proper divisors (102343160).

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

68416000 is an equidigital number, since it uses as much as digits as its factorization.

68416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 68416000 is about 8271.3964963602. The cubic root of 68416000 is about 408.9961561322.

Adding to 68416000 its reverse (61486), we get a palindrome (68477486).

The spelling of 68416000 in words is "sixty-eight million, four hundred sixteen thousand".