68627328 has 192 divisors, whose sum is σ = 230079360. Its totient is φ = 17740800.

The previous prime is 68627287. The next prime is 68627329. The reversal of 68627328 is 82372686.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 68627328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68627329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325143 + ... + 325353.

It is an arithmetic number, because the mean of its divisors is an integer number (1198330).

Almost surely, 2^68627328 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 68627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115039680).

68627328 is an abundant number, since it is smaller than the sum of its proper divisors (161452032).

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

68627328 is a wasteful number, since it uses less digits than its factorization.

68627328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 68627328 is about 8284.1612731767. The cubic root of 68627328 is about 409.4168350153.

The spelling of 68627328 in words is "sixty-eight million, six hundred twenty-seven thousand, three hundred twenty-eight".