68146320 has 160 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 16268800.

The previous prime is 68146307. The next prime is 68146327. The reversal of 68146320 is 2364186.

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

It is not an unprimeable number, because it can be changed into a prime (68146327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218965 + ... + 219275.

Almost surely, 2^68146320 is an apocalyptic number.

68146320 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 68146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

68146320 is an abundant number, since it is smaller than the sum of its proper divisors (165838704).

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

68146320 is a wasteful number, since it uses less digits than its factorization.

68146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 68146320 is about 8255.0784369381. The cubic root of 68146320 is about 408.4580591728.

The spelling of 68146320 in words is "sixty-eight million, one hundred forty-six thousand, three hundred twenty".