68275584 has 192 divisors, whose sum is σ = 218312640. Its totient is φ = 20348928.

The previous prime is 68275577. The next prime is 68275601. The reversal of 68275584 is 48557286.

68275584 is a `hidden beast` number, since 68 + 2 + 7 + 5 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703824 + ... + 703920.

It is an arithmetic number, because the mean of its divisors is an integer number (1137045).

Almost surely, 2^68275584 is an apocalyptic number.

68275584 is a gapful number since it is divisible by the number (64) 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 68275584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109156320).

68275584 is an abundant number, since it is smaller than the sum of its proper divisors (150037056).

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

68275584 is a wasteful number, since it uses less digits than its factorization.

68275584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 68275584 is about 8262.9040899674. The cubic root of 68275584 is about 408.7161585764.

The spelling of 68275584 in words is "sixty-eight million, two hundred seventy-five thousand, five hundred eighty-four".