68241640 has 64 divisors (see below), whose sum is σ = 160866000. Its totient is φ = 26019840.

The previous prime is 68241637. The next prime is 68241643. The reversal of 68241640 is 4614286.

It is an interprime number because it is at equal distance from previous prime (68241637) and next prime (68241643).

It can be written as a sum of positive squares in 8 ways, for example, as 29528356 + 38713284 = 5434^2 + 6222^2 .

It is not an unprimeable number, because it can be changed into a prime (68241643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102910 + ... + 103570.

Almost surely, 2^68241640 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 68241640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80433000).

68241640 is an abundant number, since it is smaller than the sum of its proper divisors (92624360).

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

68241640 is a wasteful number, since it uses less digits than its factorization.

68241640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 68241640 is about 8260.8498352167. The cubic root of 68241640 is about 408.6484146860.

It can be divided in two parts, 6824 and 1640, that added together give a square (8464 = 92²).

The spelling of 68241640 in words is "sixty-eight million, two hundred forty-one thousand, six hundred forty".