68841600 has 192 divisors, whose sum is σ = 232217280. Its totient is φ = 17920000.

The previous prime is 68841587. The next prime is 68841601. The reversal of 68841600 is 614886.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68841601) 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, 681550 + ... + 681650.

It is an arithmetic number, because the mean of its divisors is an integer number (1209465).

Almost surely, 2^68841600 is an apocalyptic number.

68841600 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 68841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116108640).

68841600 is an abundant number, since it is smaller than the sum of its proper divisors (163375680).

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

68841600 is a wasteful number, since it uses less digits than its factorization.

68841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 68841600 is about 8297.0838250556. The cubic root of 68841600 is about 409.8424935350.

The spelling of 68841600 in words is "sixty-eight million, eight hundred forty-one thousand, six hundred".