68367120 has 80 divisors (see below), whose sum is σ = 217694400. Its totient is φ = 17736192.

The previous prime is 68367037. The next prime is 68367127. The reversal of 68367120 is 2176386.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (68367127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5031 + ... + 12729.

It is an arithmetic number, because the mean of its divisors is an integer number (2721180).

Almost surely, 2^68367120 is an apocalyptic number.

68367120 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 68367120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108847200).

68367120 is an abundant number, since it is smaller than the sum of its proper divisors (149327280).

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

68367120 is a wasteful number, since it uses less digits than its factorization.

68367120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 68367120 is about 8268.4412073861. The cubic root of 68367120 is about 408.8987301157.

The spelling of 68367120 in words is "sixty-eight million, three hundred sixty-seven thousand, one hundred twenty".