268272040 has 32 divisors (see below), whose sum is σ = 624429000. Its totient is φ = 103608064.

The previous prime is 268272031. The next prime is 268272041. The reversal of 268272040 is 40272862.

It can be written as a sum of positive squares in 4 ways, for example, as 239692324 + 28579716 = 15482^2 + 5346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 268271993 and 268272011.

It is not an unprimeable number, because it can be changed into a prime (268272041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114475 + ... + 116794.

Almost surely, 2^268272040 is an apocalyptic number.

268272040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268272040 is an abundant number, since it is smaller than the sum of its proper divisors (356156960).

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

268272040 is a wasteful number, since it uses less digits than its factorization.

268272040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231309 (or 231305 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 268272040 is about 16379.0121802263. The cubic root of 268272040 is about 644.9486488373.

The spelling of 268272040 in words is "two hundred sixty-eight million, two hundred seventy-two thousand, forty".