67826880 has 168 divisors, whose sum is σ = 254623824. Its totient is φ = 16435200.

The previous prime is 67826873. The next prime is 67826881. The reversal of 67826880 is 8862876.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (67826881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30610 + ... + 32750.

It is an arithmetic number, because the mean of its divisors is an integer number (1515618).

Almost surely, 2^67826880 is an apocalyptic number.

67826880 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 67826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127311912).

67826880 is an abundant number, since it is smaller than the sum of its proper divisors (186796944).

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

67826880 is a wasteful number, since it uses less digits than its factorization.

67826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 67826880 is about 8235.7076198709. The cubic root of 67826880 is about 407.8188353708.

The spelling of 67826880 in words is "sixty-seven million, eight hundred twenty-six thousand, eight hundred eighty".