68517792 has 96 divisors (see below), whose sum is σ = 228412800. Its totient is φ = 19574784.

The previous prime is 68517737. The next prime is 68517809. The reversal of 68517792 is 29771586.

68517792 is a `hidden beast` number, since 68 + 517 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 384 + ... + 11712.

It is an arithmetic number, because the mean of its divisors is an integer number (2379300).

Almost surely, 2^68517792 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 68517792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114206400).

68517792 is an abundant number, since it is smaller than the sum of its proper divisors (159895008).

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

68517792 is a wasteful number, since it uses less digits than its factorization.

68517792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355 (or 11341 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 68517792 is about 8277.5474628660. The cubic root of 68517792 is about 409.1988957754.

The spelling of 68517792 in words is "sixty-eight million, five hundred seventeen thousand, seven hundred ninety-two".