68880672 has 144 divisors (see below), whose sum is σ = 233845920. Its totient is φ = 19668096.

The previous prime is 68880649. The next prime is 68880673. The reversal of 68880672 is 27608886.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (68880673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41523 + ... + 43149.

It is an arithmetic number, because the mean of its divisors is an integer number (1623930).

Almost surely, 2^68880672 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 68880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116922960).

68880672 is an abundant number, since it is smaller than the sum of its proper divisors (164965248).

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

68880672 is a wasteful number, since it uses less digits than its factorization.

68880672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 68880672 is about 8299.4380532660. The cubic root of 68880672 is about 409.9200161247.

The spelling of 68880672 in words is "sixty-eight million, eight hundred eighty thousand, six hundred seventy-two".