68250240 has 288 divisors, whose sum is σ = 256461660. Its totient is φ = 16711680.

The previous prime is 68250191. The next prime is 68250293. The reversal of 68250240 is 4205286.

It can be written as a sum of positive squares in 6 ways, for example, as 30206016 + 38044224 = 5496^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1664620 + ... + 1664660.

Almost surely, 2^68250240 is an apocalyptic number.

68250240 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 68250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128230830).

68250240 is an abundant number, since it is smaller than the sum of its proper divisors (188211420).

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

68250240 is a wasteful number, since it uses less digits than its factorization.

68250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 68250240 is about 8261.3703463772. The cubic root of 68250240 is about 408.6655802990.

The spelling of 68250240 in words is "sixty-eight million, two hundred fifty thousand, two hundred forty".