68250 has 64 divisors (see below), whose sum is σ = 209664. Its totient is φ = 14400.

The previous prime is 68239. The next prime is 68261. The reversal of 68250 is 5286.

Added to its reverse (5286) it gives a triangular number (73536 = T₃₈₃).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68239) and next prime (68261).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

68250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5244 + ... + 5256.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2⁶⁸²⁵⁰ is an apocalyptic number.

68250 is the 140-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

68250 is an abundant number, since it is smaller than the sum of its proper divisors (141414).

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

68250 is a wasteful number, since it uses less digits than its factorization.

68250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 68250 is about 261.2470095523. The cubic root of 68250 is about 40.8665101278.

Adding to 68250 its reverse (5286), we get a triangular number (73536 = T₃₈₃).

It can be divided in two parts, 6 and 8250, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 68250 in words is "sixty-eight thousand, two hundred fifty".