68356440 has 128 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 18071424.

The previous prime is 68356429. The next prime is 68356441. The reversal of 68356440 is 4465386.

68356440 is a `hidden beast` number, since 6 + 8 + 3 + 5 + 644 + 0 = 666.

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 = 68356395 and 68356404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68356441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180171 + ... + 180549.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^68356440 is an apocalyptic number.

68356440 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 68356440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

68356440 is an abundant number, since it is smaller than the sum of its proper divisors (161467560).

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

68356440 is a wasteful number, since it uses less digits than its factorization.

68356440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 68356440 is about 8267.7953530551. The cubic root of 68356440 is about 408.8774369080.

The spelling of 68356440 in words is "sixty-eight million, three hundred fifty-six thousand, four hundred forty".