68638128 has 80 divisors (see below), whose sum is σ = 197591520. Its totient is φ = 20385792.

The previous prime is 68638117. The next prime is 68638133. The reversal of 68638128 is 82183686.

It is a super-2 number, since 2×68638128² = 9422385230688768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68638128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16200 + ... + 19992.

It is an arithmetic number, because the mean of its divisors is an integer number (2469894).

Almost surely, 2^68638128 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 68638128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98795760).

68638128 is an abundant number, since it is smaller than the sum of its proper divisors (128953392).

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

68638128 is a wasteful number, since it uses less digits than its factorization.

68638128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3840 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 68638128 is about 8284.8130938483. The cubic root of 68638128 is about 409.4383107646.

The spelling of 68638128 in words is "sixty-eight million, six hundred thirty-eight thousand, one hundred twenty-eight".