68035968 has 384 divisors, whose sum is σ = 267321600. Its totient is φ = 16035840.

The previous prime is 68035951. The next prime is 68035993. The reversal of 68035968 is 86953086.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153123 + ... + 1153181.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 2^68035968 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 68035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

68035968 is an abundant number, since it is smaller than the sum of its proper divisors (199285632).

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

68035968 is a wasteful number, since it uses less digits than its factorization.

68035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 68035968 is about 8248.3918432625. The cubic root of 68035968 is about 408.2374626887.

The spelling of 68035968 in words is "sixty-eight million, thirty-five thousand, nine hundred sixty-eight".