68400288 has 120 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 20718720.

The previous prime is 68400281. The next prime is 68400289. The reversal of 68400288 is 88200486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68400281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27313 + ... + 29711.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 2^68400288 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 68400288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

68400288 is an abundant number, since it is smaller than the sum of its proper divisors (151142112).

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

68400288 is a wasteful number, since it uses less digits than its factorization.

68400288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68400288 is about 8270.4466626658. The cubic root of 68400288 is about 408.9648445502.

The spelling of 68400288 in words is "sixty-eight million, four hundred thousand, two hundred eighty-eight".