68355000 has 360 divisors, whose sum is σ = 277786080. Its totient is φ = 15120000.

The previous prime is 68354983. The next prime is 68355019. The reversal of 68355000 is 55386.

It is a tau number, because it is divible by the number of its divisors (360).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2204985 + ... + 2205015.

It is an arithmetic number, because the mean of its divisors is an integer number (771628).

Almost surely, 2^68355000 is an apocalyptic number.

68355000 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 68355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138893040).

68355000 is an abundant number, since it is smaller than the sum of its proper divisors (209431080).

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

68355000 is a wasteful number, since it uses less digits than its factorization.

68355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 68355000 is about 8267.7082677124. The cubic root of 68355000 is about 408.8745657440.

The spelling of 68355000 in words is "sixty-eight million, three hundred fifty-five thousand".