68024160 has 144 divisors (see below), whose sum is σ = 235007136. Its totient is φ = 17915904.

The previous prime is 68024149. The next prime is 68024189. The reversal of 68024160 is 6142086.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 139437 + ... + 139923.

It is an arithmetic number, because the mean of its divisors is an integer number (1631994).

Almost surely, 2^68024160 is an apocalyptic number.

68024160 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 68024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117503568).

68024160 is an abundant number, since it is smaller than the sum of its proper divisors (166982976).

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

68024160 is a wasteful number, since it uses less digits than its factorization.

68024160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68024160 is about 8247.6760363147. The cubic root of 68024160 is about 408.2138440695.

The spelling of 68024160 in words is "sixty-eight million, twenty-four thousand, one hundred sixty".