67723968 has 112 divisors (see below), whose sum is σ = 197770496. Its totient is φ = 20321280.

The previous prime is 67723921. The next prime is 67724047. The reversal of 67723968 is 86932776.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 107013 + ... + 107643.

It is an arithmetic number, because the mean of its divisors is an integer number (1765808).

Almost surely, 2^67723968 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 67723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98885248).

67723968 is an abundant number, since it is smaller than the sum of its proper divisors (130046528).

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

67723968 is a wasteful number, since it uses less digits than its factorization.

67723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 692 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 67723968 is about 8229.4573332632. The cubic root of 67723968 is about 407.6124732506.

The spelling of 67723968 in words is "sixty-seven million, seven hundred twenty-three thousand, nine hundred sixty-eight".