68801328 has 60 divisors (see below), whose sum is σ = 193768848. Its totient is φ = 22788480.

The previous prime is 68801267. The next prime is 68801347. The reversal of 68801328 is 82310886.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 = 68801292 and 68801301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22618 + ... + 25478.

Almost surely, 2^68801328 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 68801328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96884424).

68801328 is an abundant number, since it is smaller than the sum of its proper divisors (124967520).

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

68801328 is a wasteful number, since it uses less digits than its factorization.

68801328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68801328 is about 8294.6565932533. The cubic root of 68801328 is about 409.7625593265.

The spelling of 68801328 in words is "sixty-eight million, eight hundred one thousand, three hundred twenty-eight".