68357000 has 64 divisors (see below), whose sum is σ = 169406640. Its totient is φ = 25728000.

The previous prime is 68356997. The next prime is 68357011. The reversal of 68357000 is 75386.

It can be written as a sum of positive squares in 8 ways, for example, as 228484 + 68128516 = 478^2 + 8254^2 .

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14990 + ... + 19010.

Almost surely, 2^68357000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84703320).

68357000 is an abundant number, since it is smaller than the sum of its proper divisors (101049640).

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

68357000 is a wasteful number, since it uses less digits than its factorization.

68357000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 68357000 is about 8267.8292193296. The cubic root of 68357000 is about 408.8785534608.

The spelling of 68357000 in words is "sixty-eight million, three hundred fifty-seven thousand".