268937152 has 56 divisors (see below), whose sum is σ = 601016832. Its totient is φ = 118291200.

The previous prime is 268937147. The next prime is 268937167. The reversal of 268937152 is 251739862.

It is a super-2 number, since 2×268937152² = 144654383451742208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268937099 and 268937108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15663 + ... + 27985.

Almost surely, 2^268937152 is an apocalyptic number.

268937152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300508416).

268937152 is an abundant number, since it is smaller than the sum of its proper divisors (332079680).

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

268937152 is a wasteful number, since it uses less digits than its factorization.

268937152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12377 (or 12367 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 268937152 is about 16399.3033998399. The cubic root of 268937152 is about 645.4812041143.

The spelling of 268937152 in words is "two hundred sixty-eight million, nine hundred thirty-seven thousand, one hundred fifty-two".