67271680 has 88 divisors (see below), whose sum is σ = 184524768. Its totient is φ = 23052288.

The previous prime is 67271671. The next prime is 67271689. The reversal of 67271680 is 8617276.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67271671) and next prime (67271689).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67271689) 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, 34902 + ... + 36778.

Almost surely, 2^67271680 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 67271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92262384).

67271680 is an abundant number, since it is smaller than the sum of its proper divisors (117253088).

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

67271680 is a wasteful number, since it uses less digits than its factorization.

67271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 67271680 is about 8201.9314798406. The cubic root of 67271680 is about 406.7030455079.

The spelling of 67271680 in words is "sixty-seven million, two hundred seventy-one thousand, six hundred eighty".