67660080 has 80 divisors (see below), whose sum is σ = 211248384. Its totient is φ = 17913600.

The previous prime is 67660069. The next prime is 67660081. The reversal of 67660080 is 8006676.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (67660081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35307 + ... + 37173.

Almost surely, 2^67660080 is an apocalyptic number.

67660080 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 67660080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105624192).

67660080 is an abundant number, since it is smaller than the sum of its proper divisors (143588304).

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

67660080 is a wasteful number, since it uses less digits than its factorization.

67660080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 67660080 is about 8225.5747519550. The cubic root of 67660080 is about 407.4842579890.

The spelling of 67660080 in words is "sixty-seven million, six hundred sixty thousand, eighty".