67166416 has 20 divisors (see below), whose sum is σ = 130320900. Its totient is φ = 33535232.

The previous prime is 67166413. The next prime is 67166419. The reversal of 67166416 is 61466176.

It is an interprime number because it is at equal distance from previous prime (67166413) and next prime (67166419).

It can be written as a sum of positive squares in 2 ways, for example, as 56250000 + 10916416 = 7500^2 + 3304^2 .

It is a super-2 number, since 2×67166416² = 9022654876570112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67166413) 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 3 ways as a sum of consecutive naturals, for example, 10350 + ... + 15538.

It is an arithmetic number, because the mean of its divisors is an integer number (6516045).

Almost surely, 2^67166416 is an apocalyptic number.

It is an amenable number.

67166416 is a deficient number, since it is larger than the sum of its proper divisors (63154484).

67166416 is a wasteful number, since it uses less digits than its factorization.

67166416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 6000 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 67166416 is about 8195.5119425207. The cubic root of 67166416 is about 406.4908039497.

The spelling of 67166416 in words is "sixty-seven million, one hundred sixty-six thousand, four hundred sixteen".