68438160 has 240 divisors, whose sum is σ = 270506496. Its totient is φ = 15178752.

The previous prime is 68438159. The next prime is 68438177. The reversal of 68438160 is 6183486.

It is a happy number.

68438160 is a `hidden beast` number, since 68 + 438 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186297 + ... + 186663.

Almost surely, 2^68438160 is an apocalyptic number.

68438160 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 68438160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135253248).

68438160 is an abundant number, since it is smaller than the sum of its proper divisors (202068336).

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

68438160 is a wasteful number, since it uses less digits than its factorization.

68438160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68438160 is about 8272.7359440514. The cubic root of 68438160 is about 409.0403094319.

The spelling of 68438160 in words is "sixty-eight million, four hundred thirty-eight thousand, one hundred sixty".