67918080 has 144 divisors (see below), whose sum is σ = 226638720. Its totient is φ = 17301504.

The previous prime is 67918079. The next prime is 67918127. The reversal of 67918080 is 8081976.

It is a super-2 number, since 2×67918080² = 9225731181772800, 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, 87936 + ... + 88704.

It is an arithmetic number, because the mean of its divisors is an integer number (1573880).

Almost surely, 2^67918080 is an apocalyptic number.

67918080 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 67918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319360).

67918080 is an abundant number, since it is smaller than the sum of its proper divisors (158720640).

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

67918080 is a wasteful number, since it uses less digits than its factorization.

67918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 67918080 is about 8241.2426247502. The cubic root of 67918080 is about 408.0015378643.

The spelling of 67918080 in words is "sixty-seven million, nine hundred eighteen thousand, eighty".