67108080 has 160 divisors (see below), whose sum is σ = 227110464. Its totient is φ = 16293888.

The previous prime is 67108049. The next prime is 67108081. The reversal of 67108080 is 8080176.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67108081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427362 + ... + 427518.

Almost surely, 2^67108080 is an apocalyptic number.

67108080 is a gapful number since it is divisible by the number (60) 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 67108080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113555232).

67108080 is an abundant number, since it is smaller than the sum of its proper divisors (160002384).

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

67108080 is a wasteful number, since it uses less digits than its factorization.

67108080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 67108080 is about 8191.9521482977. The cubic root of 67108080 is about 406.3730868056.

The spelling of 67108080 in words is "sixty-seven million, one hundred eight thousand, eighty".