67816000 has 168 divisors, whose sum is σ = 196495416. Its totient is φ = 23116800.

The previous prime is 67815977. The next prime is 67816013. The reversal of 67816000 is 61876.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 67765824 = 224^2 + 8232^2 .

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 67816000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391914 + ... + 392086.

Almost surely, 2^67816000 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 67816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98247708).

67816000 is an abundant number, since it is smaller than the sum of its proper divisors (128679416).

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

67816000 is a wasteful number, since it uses less digits than its factorization.

67816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 67816000 is about 8235.0470551175. The cubic root of 67816000 is about 407.7970283517.

Adding to 67816000 its reverse (61876), we get a palindrome (67877876).

The spelling of 67816000 in words is "sixty-seven million, eight hundred sixteen thousand".