67166880 has 96 divisors (see below), whose sum is σ = 230827968. Its totient is φ = 16281600.

The previous prime is 67166873. The next prime is 67166963. The reversal of 67166880 is 8866176.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×67166880² = 9022779537868800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1081 + ... + 11640.

It is an arithmetic number, because the mean of its divisors is an integer number (2404458).

Almost surely, 2^67166880 is an apocalyptic number.

67166880 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 67166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115413984).

67166880 is an abundant number, since it is smaller than the sum of its proper divisors (163661088).

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

67166880 is a wasteful number, since it uses less digits than its factorization.

67166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12750 (or 12742 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 67166880 is about 8195.5402506485. The cubic root of 67166880 is about 406.4917399894.

The spelling of 67166880 in words is "sixty-seven million, one hundred sixty-six thousand, eight hundred eighty".