67800960 has 192 divisors, whose sum is σ = 238680000. Its totient is φ = 17731584.

The previous prime is 67800919. The next prime is 67800973. The reversal of 67800960 is 6900876.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454966 + ... + 455114.

It is an arithmetic number, because the mean of its divisors is an integer number (1243125).

Almost surely, 2^67800960 is an apocalyptic number.

67800960 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 67800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340000).

67800960 is an abundant number, since it is smaller than the sum of its proper divisors (170879040).

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

67800960 is a wasteful number, since it uses less digits than its factorization.

67800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 67800960 is about 8234.1338342293. The cubic root of 67800960 is about 407.7668795139.

The spelling of 67800960 in words is "sixty-seven million, eight hundred thousand, nine hundred sixty".