67168920 has 128 divisors (see below), whose sum is σ = 248048640. Its totient is φ = 14169600.

The previous prime is 67168897. The next prime is 67168931. The reversal of 67168920 is 2986176.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7845 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (1937880).

Almost surely, 2^67168920 is an apocalyptic number.

67168920 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 67168920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124024320).

67168920 is an abundant number, since it is smaller than the sum of its proper divisors (180879720).

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

67168920 is a wasteful number, since it uses less digits than its factorization.

67168920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 67168920 is about 8195.6647076366. The cubic root of 67168920 is about 406.4958552853.

The spelling of 67168920 in words is "sixty-seven million, one hundred sixty-eight thousand, nine hundred twenty".