68541840 has 120 divisors (see below), whose sum is σ = 240252480. Its totient is φ = 17478912.

The previous prime is 68541779. The next prime is 68541859. The reversal of 68541840 is 4814586.

It is a Cunningham number, because it is equal to 8279²-1.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 68541795 and 68541804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14491 + ... + 18629.

It is an arithmetic number, because the mean of its divisors is an integer number (2002104).

Almost surely, 2^68541840 is an apocalyptic number.

68541840 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 68541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120126240).

68541840 is an abundant number, since it is smaller than the sum of its proper divisors (171710640).

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

68541840 is a wasteful number, since it uses less digits than its factorization.

68541840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68541840 is about 8278.9999396062. Note that the first 4 decimals coincide. The cubic root of 68541840 is about 409.2467629727.

The spelling of 68541840 in words is "sixty-eight million, five hundred forty-one thousand, eight hundred forty".