68457312 has 300 divisors, whose sum is σ = 256224276. Its totient is φ = 17781120.

The previous prime is 68457307. The next prime is 68457343. The reversal of 68457312 is 21375486.

68457312 is a `hidden beast` number, since 6 + 84 + 573 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6223387 + ... + 6223397.

Almost surely, 2^68457312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68457312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128112138).

68457312 is an abundant number, since it is smaller than the sum of its proper divisors (187766964).

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

68457312 is an equidigital number, since it uses as much as digits as its factorization.

68457312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 68457312 is about 8273.8934003285. The cubic root of 68457312 is about 409.0784616819.

The spelling of 68457312 in words is "sixty-eight million, four hundred fifty-seven thousand, three hundred twelve".