68286240 has 240 divisors, whose sum is σ = 263450880. Its totient is φ = 16519680.

The previous prime is 68286233. The next prime is 68286269. The reversal of 68286240 is 4268286.

68286240 is a `hidden beast` number, since 6 + 8 + 28 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68286195 and 68286204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142321 + ... + 142799.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^68286240 is an apocalyptic number.

68286240 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 68286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

68286240 is an abundant number, since it is smaller than the sum of its proper divisors (195164640).

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

68286240 is a wasteful number, since it uses less digits than its factorization.

68286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68286240 is about 8263.5488744244. The cubic root of 68286240 is about 408.7374207054.

The spelling of 68286240 in words is "sixty-eight million, two hundred eighty-six thousand, two hundred forty".