68870880 has 216 divisors, whose sum is σ = 255390408. Its totient is φ = 16892928.

The previous prime is 68870863. The next prime is 68870881. The reversal of 68870880 is 8807886.

It is a super-2 number, since 2×68870880² = 9486396223948800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68870881) 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 35 ways as a sum of consecutive naturals, for example, 243219 + ... + 243501.

It is an arithmetic number, because the mean of its divisors is an integer number (1182363).

Almost surely, 2^68870880 is an apocalyptic number.

68870880 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 68870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127695204).

68870880 is an abundant number, since it is smaller than the sum of its proper divisors (186519528).

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

68870880 is a wasteful number, since it uses less digits than its factorization.

68870880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 68870880 is about 8298.8481128407. The cubic root of 68870880 is about 409.9005906124.

The spelling of 68870880 in words is "sixty-eight million, eight hundred seventy thousand, eight hundred eighty".