67871360 has 64 divisors (see below), whose sum is σ = 163459080. Its totient is φ = 26947584.

The previous prime is 67871351. The next prime is 67871381. The reversal of 67871360 is 6317876.

It can be written as a sum of positive squares in 4 ways, for example, as 47004736 + 20866624 = 6856^2 + 4568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110414 + ... + 111026.

Almost surely, 2^67871360 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 67871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81729540).

67871360 is an abundant number, since it is smaller than the sum of its proper divisors (95587720).

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

67871360 is a wasteful number, since it uses less digits than its factorization.

67871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 67871360 is about 8238.4076131252. The cubic root of 67871360 is about 407.9079633486.

The spelling of 67871360 in words is "sixty-seven million, eight hundred seventy-one thousand, three hundred sixty".