68531328 has 192 divisors, whose sum is σ = 216403200. Its totient is φ = 20736000.

The previous prime is 68531327. The next prime is 68531341. The reversal of 68531328 is 82313586.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 68531292 and 68531301.

It is not an unprimeable number, because it can be changed into a prime (68531327) 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, 678478 + ... + 678578.

It is an arithmetic number, because the mean of its divisors is an integer number (1127100).

Almost surely, 2^68531328 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 68531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108201600).

68531328 is an abundant number, since it is smaller than the sum of its proper divisors (147871872).

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

68531328 is a wasteful number, since it uses less digits than its factorization.

68531328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 68531328 is about 8278.3650559757. The cubic root of 68531328 is about 409.2258403659.

The spelling of 68531328 in words is "sixty-eight million, five hundred thirty-one thousand, three hundred twenty-eight".