68541760 has 112 divisors (see below), whose sum is σ = 191804544. Its totient is φ = 22837248.

The previous prime is 68541757. The next prime is 68541763. The reversal of 68541760 is 6714586.

It is an interprime number because it is at equal distance from previous prime (68541757) and next prime (68541763).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68541763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82467 + ... + 83293.

Almost surely, 2^68541760 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 68541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95902272).

68541760 is an abundant number, since it is smaller than the sum of its proper divisors (123262784).

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

68541760 is a wasteful number, since it uses less digits than its factorization.

68541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 68541760 is about 8278.9951081034. The cubic root of 68541760 is about 409.2466037525.

The spelling of 68541760 in words is "sixty-eight million, five hundred forty-one thousand, seven hundred sixty".