68901680 has 80 divisors (see below), whose sum is σ = 175569120. Its totient is φ = 25030656.

The previous prime is 68901653. The next prime is 68901713. The reversal of 68901680 is 8610986.

It is a tau number, because it is divible by the number of its divisors (80).

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, 38567 + ... + 40313.

It is an arithmetic number, because the mean of its divisors is an integer number (2194614).

Almost surely, 2^68901680 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 68901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87784560).

68901680 is an abundant number, since it is smaller than the sum of its proper divisors (106667440).

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

68901680 is a wasteful number, since it uses less digits than its factorization.

68901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 68901680 is about 8300.7035846367. The cubic root of 68901680 is about 409.9616858902.

The spelling of 68901680 in words is "sixty-eight million, nine hundred one thousand, six hundred eighty".