67856880 has 240 divisors, whose sum is σ = 261411840. Its totient is φ = 14257152.

The previous prime is 67856869. The next prime is 67856941. The reversal of 67856880 is 8865876.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283801 + ... + 284039.

It is an arithmetic number, because the mean of its divisors is an integer number (1089216).

Almost surely, 2^67856880 is an apocalyptic number.

67856880 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 67856880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130705920).

67856880 is an abundant number, since it is smaller than the sum of its proper divisors (193554960).

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

67856880 is a wasteful number, since it uses less digits than its factorization.

67856880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 67856880 is about 8237.5287556402. The cubic root of 67856880 is about 407.8789529413.

The spelling of 67856880 in words is "sixty-seven million, eight hundred fifty-six thousand, eight hundred eighty".