68016400 has 60 divisors (see below), whose sum is σ = 165188212. Its totient is φ = 26910720.

The previous prime is 68016353. The next prime is 68016407. The reversal of 68016400 is 461086.

It can be written as a sum of positive squares in 6 ways, for example, as 14258176 + 53758224 = 3776^2 + 7332^2 .

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

It is not an unprimeable number, because it can be changed into a prime (68016407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37924 + ... + 39676.

Almost surely, 2^68016400 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 68016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82594106).

68016400 is an abundant number, since it is smaller than the sum of its proper divisors (97171812).

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

68016400 is a wasteful number, since it uses less digits than its factorization.

68016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1857 counting only the distinct ones).

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

The square root of 68016400 is about 8247.2055873490. The cubic root of 68016400 is about 408.1983208599.

Adding to 68016400 its reverse (461086), we get a palindrome (68477486).

The spelling of 68016400 in words is "sixty-eight million, sixteen thousand, four hundred".