675769248 has 288 divisors, whose sum is σ = 2475712512. Its totient is φ = 169689600.

The previous prime is 675769247. The next prime is 675769271. The reversal of 675769248 is 842967576.

675769248 is a `hidden beast` number, since 67 + 576 + 9 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 675769194 and 675769203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675769247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 686965 + ... + 687947.

It is an arithmetic number, because the mean of its divisors is an integer number (8596224).

Almost surely, 2^675769248 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 675769248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237856256).

675769248 is an abundant number, since it is smaller than the sum of its proper divisors (1799943264).

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

675769248 is a wasteful number, since it uses less digits than its factorization.

675769248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1037 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 675769248 is about 25995.5620827864. The cubic root of 675769248 is about 877.5384238173.

The spelling of 675769248 in words is "six hundred seventy-five million, seven hundred sixty-nine thousand, two hundred forty-eight".