247920768 has 192 divisors, whose sum is σ = 760195800. Its totient is φ = 77414400.

The previous prime is 247920737. The next prime is 247920787. The reversal of 247920768 is 867029742.

It can be written as a sum of positive squares in 4 ways, for example, as 71774784 + 176145984 = 8472^2 + 13272^2 .

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

It is a super-2 number, since 2×247920768² = 122929414411419648, which contains 22 as substring.

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, 1369638 + ... + 1369818.

Almost surely, 2^247920768 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 247920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380097900).

247920768 is an abundant number, since it is smaller than the sum of its proper divisors (512275032).

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

247920768 is a wasteful number, since it uses less digits than its factorization.

247920768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 247920768 is about 15745.4999285510. The cubic root of 247920768 is about 628.2092153216.

The spelling of 247920768 in words is "two hundred forty-seven million, nine hundred twenty thousand, seven hundred sixty-eight".