68856000 has 224 divisors, whose sum is σ = 240913920. Its totient is φ = 17280000.

The previous prime is 68855999. The next prime is 68856023. The reversal of 68856000 is 65886.

It is a super-2 number, since 2×68856000² = 9482297472000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455925 + ... + 456075.

Almost surely, 2^68856000 is an apocalyptic number.

68856000 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 68856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120456960).

68856000 is an abundant number, since it is smaller than the sum of its proper divisors (172057920).

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

68856000 is a wasteful number, since it uses less digits than its factorization.

68856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 68856000 is about 8297.9515544500. The cubic root of 68856000 is about 409.8710679264.

The spelling of 68856000 in words is "sixty-eight million, eight hundred fifty-six thousand".