68147040 has 192 divisors, whose sum is σ = 236065536. Its totient is φ = 16422912.

The previous prime is 68147011. The next prime is 68147077. The reversal of 68147040 is 4074186.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 68146989 and 68147007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417999 + ... + 418161.

It is an arithmetic number, because the mean of its divisors is an integer number (1229508).

Almost surely, 2^68147040 is an apocalyptic number.

68147040 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 68147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118032768).

68147040 is an abundant number, since it is smaller than the sum of its proper divisors (167918496).

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

68147040 is a wasteful number, since it uses less digits than its factorization.

68147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 68147040 is about 8255.1220463419. The cubic root of 68147040 is about 408.4594976890.

The spelling of 68147040 in words is "sixty-eight million, one hundred forty-seven thousand, forty".