67646016 has 70 divisors (see below), whose sum is σ = 200539350. Its totient is φ = 22546944.

The previous prime is 67645997. The next prime is 67646017. The reversal of 67646016 is 61064676.

67646016 is a `hidden beast` number, since 6 + 7 + 646 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59351616 + 8294400 = 7704^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (67646017) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1341 + ... + 11708.

Almost surely, 2^67646016 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 67646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100269675).

67646016 is an abundant number, since it is smaller than the sum of its proper divisors (132893334).

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

67646016 is a wasteful number, since it uses less digits than its factorization.

67646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13073 (or 13054 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 67646016 is about 8224.7198128568. The cubic root of 67646016 is about 407.4560224537.

The spelling of 67646016 in words is "sixty-seven million, six hundred forty-six thousand, sixteen".