67984800 has 144 divisors (see below), whose sum is σ = 238422240. Its totient is φ = 16727040.

The previous prime is 67984781. The next prime is 67984801. The reversal of 67984800 is 848976.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (67984801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30111 + ... + 32289.

It is an arithmetic number, because the mean of its divisors is an integer number (1655710).

Almost surely, 2^67984800 is an apocalyptic number.

67984800 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 67984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119211120).

67984800 is an abundant number, since it is smaller than the sum of its proper divisors (170437440).

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

67984800 is a wasteful number, since it uses less digits than its factorization.

67984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2202 counting only the distinct ones).

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

The square root of 67984800 is about 8245.2895643513. The cubic root of 67984800 is about 408.1350955933.

The spelling of 67984800 in words is "sixty-seven million, nine hundred eighty-four thousand, eight hundred".