68417328 has 120 divisors (see below), whose sum is σ = 216563520. Its totient is φ = 18506880.

The previous prime is 68417281. The next prime is 68417353. The reversal of 68417328 is 82371486.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43923 + ... + 45453.

It is an arithmetic number, because the mean of its divisors is an integer number (1804696).

Almost surely, 2^68417328 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 68417328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108281760).

68417328 is an abundant number, since it is smaller than the sum of its proper divisors (148146192).

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

68417328 is a wasteful number, since it uses less digits than its factorization.

68417328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1562 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 68417328 is about 8271.4767726205. The cubic root of 68417328 is about 408.9988024108.

It can be divided in two parts, 684 and 17328, that multiplied together give a cube (11852352 = 228³).

The spelling of 68417328 in words is "sixty-eight million, four hundred seventeen thousand, three hundred twenty-eight".