68938128 has 240 divisors, whose sum is σ = 243734400. Its totient is φ = 18413568.

The previous prime is 68938127. The next prime is 68938147. The reversal of 68938128 is 82183986.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68938127) 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, 462598 + ... + 462746.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^68938128 is an apocalyptic number.

68938128 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68938128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

68938128 is an abundant number, since it is smaller than the sum of its proper divisors (174796272).

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

68938128 is a wasteful number, since it uses less digits than its factorization.

68938128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 68938128 is about 8302.8987709113. The cubic root of 68938128 is about 410.0339610972.

The spelling of 68938128 in words is "sixty-eight million, nine hundred thirty-eight thousand, one hundred twenty-eight".