67974016 has 64 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 29539840.

The previous prime is 67973987. The next prime is 67974019. The reversal of 67974016 is 61047976.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 67974016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67974019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31335 + ... + 33433.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^67974016 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 67974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

67974016 is an abundant number, since it is smaller than the sum of its proper divisors (86249984).

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

67974016 is a wasteful number, since it uses less digits than its factorization.

67974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 67974016 is about 8244.6355892786. The cubic root of 67974016 is about 408.1135144869.

The spelling of 67974016 in words is "sixty-seven million, nine hundred seventy-four thousand, sixteen".