68315940 has 384 divisors, whose sum is σ = 278691840. Its totient is φ = 13478400.

The previous prime is 68315921. The next prime is 68315941. The reversal of 68315940 is 4951386.

68315940 is a `hidden beast` number, since 68 + 3 + 1 + 594 + 0 = 666.

68315940 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

68315940 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 68315895 and 68315904.

It is not an unprimeable number, because it can be changed into a prime (68315941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1288954 + ... + 1289006.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^68315940 is an apocalyptic number.

68315940 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 68315940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

68315940 is an abundant number, since it is smaller than the sum of its proper divisors (210375900).

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

68315940 is a wasteful number, since it uses less digits than its factorization.

68315940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68315940 is about 8265.3457277963. The cubic root of 68315940 is about 408.7966700352.

The spelling of 68315940 in words is "sixty-eight million, three hundred fifteen thousand, nine hundred forty".