68935968 has 96 divisors (see below), whose sum is σ = 209865600. Its totient is φ = 21973248.

The previous prime is 68935957. The next prime is 68936029. The reversal of 68935968 is 86953986.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18138 + ... + 21606.

It is an arithmetic number, because the mean of its divisors is an integer number (2186100).

Almost surely, 2^68935968 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 68935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104932800).

68935968 is an abundant number, since it is smaller than the sum of its proper divisors (140929632).

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

68935968 is a wasteful number, since it uses less digits than its factorization.

68935968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3497 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 68935968 is about 8302.7686948391. The cubic root of 68935968 is about 410.0296785972.

The spelling of 68935968 in words is "sixty-eight million, nine hundred thirty-five thousand, nine hundred sixty-eight".