68178420 has 144 divisors (see below), whose sum is σ = 220343760. Its totient is φ = 17031168.

The previous prime is 68178401. The next prime is 68178427. The reversal of 68178420 is 2487186.

68178420 is a `hidden beast` number, since 68 + 178 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1004004 + 67174416 = 1002^2 + 8196^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68178427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192964 + ... + 193316.

It is an arithmetic number, because the mean of its divisors is an integer number (1530165).

Almost surely, 2^68178420 is an apocalyptic number.

68178420 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 68178420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110171880).

68178420 is an abundant number, since it is smaller than the sum of its proper divisors (152165340).

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

68178420 is a wasteful number, since it uses less digits than its factorization.

68178420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 68178420 is about 8257.0224657560. The cubic root of 68178420 is about 408.5221831809.

The spelling of 68178420 in words is "sixty-eight million, one hundred seventy-eight thousand, four hundred twenty".