67616 has 12 divisors (see below), whose sum is σ = 133182. Its totient is φ = 33792.

The previous prime is 67607. The next prime is 67619. The reversal of 67616 is 61676.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 16 = 260^2 + 4^2 .

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 9 and base 11.

It is not an unprimeable number, because it can be changed into a prime (67619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1025 + ... + 1088.

2⁶⁷⁶¹⁶ is an apocalyptic number.

It is an amenable number.

67616 is a deficient number, since it is larger than the sum of its proper divisors (65566).

67616 is a wasteful number, since it uses less digits than its factorization.

67616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2115 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 67616 is about 260.0307674103. The cubic root of 67616 is about 40.7395747855.

It can be divided in two parts, 676 and 16, that multiplied together give a square (10816 = 104²).

The spelling of 67616 in words is "sixty-seven thousand, six hundred sixteen".