68388320 has 288 divisors, whose sum is σ = 224423136. Its totient is φ = 19353600.

The previous prime is 68388317. The next prime is 68388323. The reversal of 68388320 is 2388386.

It is an interprime number because it is at equal distance from previous prime (68388317) and next prime (68388323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68388323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121090 + ... + 1121150.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 2^68388320 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 68388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112211568).

68388320 is an abundant number, since it is smaller than the sum of its proper divisors (156034816).

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

68388320 is a wasteful number, since it uses less digits than its factorization.

68388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 68388320 is about 8269.7230908900. The cubic root of 68388320 is about 408.9409909627.

The spelling of 68388320 in words is "sixty-eight million, three hundred eighty-eight thousand, three hundred twenty".