268349152 has 48 divisors (see below), whose sum is σ = 537434352. Its totient is φ = 131880960.

The previous prime is 268349143. The next prime is 268349173. The reversal of 268349152 is 251943862.

It is a super-2 number, since 2×268349152² = 144022534758238208, 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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619528 + ... + 619960.

It is an arithmetic number, because the mean of its divisors is an integer number (11196549).

Almost surely, 2^268349152 is an apocalyptic number.

It is an amenable number.

268349152 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

268349152 is a wasteful number, since it uses less digits than its factorization.

268349152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 723 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 268349152 is about 16381.3659992078. The cubic root of 268349152 is about 645.0104375051.

The spelling of 268349152 in words is "two hundred sixty-eight million, three hundred forty-nine thousand, one hundred fifty-two".