68795760 has 240 divisors, whose sum is σ = 246984192. Its totient is φ = 15797760.

The previous prime is 68795759. The next prime is 68795761. The reversal of 68795760 is 6759786.

It is an interprime number because it is at equal distance from previous prime (68795759) and next prime (68795761).

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68795761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667869 + ... + 667971.

Almost surely, 2^68795760 is an apocalyptic number.

68795760 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 68795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

68795760 is an abundant number, since it is smaller than the sum of its proper divisors (178188432).

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

68795760 is a wasteful number, since it uses less digits than its factorization.

68795760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 68795760 is about 8294.3209486974. The cubic root of 68795760 is about 409.7515051819.

The spelling of 68795760 in words is "sixty-eight million, seven hundred ninety-five thousand, seven hundred sixty".