68013120 has 224 divisors, whose sum is σ = 256032000. Its totient is φ = 14966784.

The previous prime is 68013083. The next prime is 68013133. The reversal of 68013120 is 2131086.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 194706 + ... + 195054.

It is an arithmetic number, because the mean of its divisors is an integer number (1143000).

Almost surely, 2^68013120 is an apocalyptic number.

68013120 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 68013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128016000).

68013120 is an abundant number, since it is smaller than the sum of its proper divisors (188018880).

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

68013120 is a wasteful number, since it uses less digits than its factorization.

68013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 68013120 is about 8247.0067297172. The cubic root of 68013120 is about 408.1917591482.

The spelling of 68013120 in words is "sixty-eight million, thirteen thousand, one hundred twenty".