67916544 has 72 divisors (see below), whose sum is σ = 182095872. Its totient is φ = 22471680.

The previous prime is 67916543. The next prime is 67916561. The reversal of 67916544 is 44561976.

It is a super-2 number, since 2×67916544² = 9225313897807872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67916496 and 67916505.

It is not an unprimeable number, because it can be changed into a prime (67916543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146457 + ... + 146919.

Almost surely, 2^67916544 is an apocalyptic number.

67916544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91047936).

67916544 is an abundant number, since it is smaller than the sum of its proper divisors (114179328).

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

67916544 is a wasteful number, since it uses less digits than its factorization.

67916544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 67916544 is about 8241.1494343932. The cubic root of 67916544 is about 407.9984621242.

The spelling of 67916544 in words is "sixty-seven million, nine hundred sixteen thousand, five hundred forty-four".