68832000 has 216 divisors, whose sum is σ = 248713920. Its totient is φ = 18278400.

The previous prime is 68831999. The next prime is 68832013. The reversal of 68832000 is 23886.

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, 287881 + ... + 288119.

Almost surely, 2^68832000 is an apocalyptic number.

68832000 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 68832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124356960).

68832000 is an abundant number, since it is smaller than the sum of its proper divisors (179881920).

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

68832000 is a wasteful number, since it uses less digits than its factorization.

68832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68832000 is about 8296.5052883729. The cubic root of 68832000 is about 409.8234417270.

Adding to 68832000 its reverse (23886), we get a palindrome (68855886).

The spelling of 68832000 in words is "sixty-eight million, eight hundred thirty-two thousand".