67801968 has 80 divisors (see below), whose sum is σ = 209604640. Its totient is φ = 20860416.

The previous prime is 67801931. The next prime is 67801973. The reversal of 67801968 is 86910876.

It is a happy number.

It is a congruent number.

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, 421 + ... + 11652.

It is an arithmetic number, because the mean of its divisors is an integer number (2620058).

Almost surely, 2^67801968 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 67801968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104802320).

67801968 is an abundant number, since it is smaller than the sum of its proper divisors (141802672).

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

67801968 is a wasteful number, since it uses less digits than its factorization.

67801968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12103 (or 12091 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 67801968 is about 8234.1950426256. The cubic root of 67801968 is about 407.7689002669.

The spelling of 67801968 in words is "sixty-seven million, eight hundred one thousand, nine hundred sixty-eight".