268001625 has 32 divisors (see below), whose sum is σ = 456857856. Its totient is φ = 139440000.

The previous prime is 268001597. The next prime is 268001647. The reversal of 268001625 is 526100862.

It is not a de Polignac number, because 268001625 - 2⁶ = 268001561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 268001592 and 268001601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6660 + ... + 24090.

It is an arithmetic number, because the mean of its divisors is an integer number (14276808).

Almost surely, 2^268001625 is an apocalyptic number.

268001625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268001625 is a deficient number, since it is larger than the sum of its proper divisors (188856231).

268001625 is a wasteful number, since it uses less digits than its factorization.

268001625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17490 (or 17480 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 268001625 is about 16370.7551750064. The cubic root of 268001625 is about 644.7318758176.

The spelling of 268001625 in words is "two hundred sixty-eight million, one thousand, six hundred twenty-five".