67248016 has 40 divisors (see below), whose sum is σ = 142990848. Its totient is φ = 30384000.

The previous prime is 67247993. The next prime is 67248017. The reversal of 67248016 is 61084276.

67248016 = 789² + 790² + ... + 884².

It is not an unprimeable number, because it can be changed into a prime (67248017) 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, 30801 + ... + 32911.

Almost surely, 2^67248016 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 67248016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

67248016 is an abundant number, since it is smaller than the sum of its proper divisors (75742832).

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

67248016 is a wasteful number, since it uses less digits than its factorization.

67248016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 67248016 is about 8200.4887659212. The cubic root of 67248016 is about 406.6553515918.

The spelling of 67248016 in words is "sixty-seven million, two hundred forty-eight thousand, sixteen".