268117152 has 48 divisors (see below), whose sum is σ = 712736640. Its totient is φ = 88238592.

The previous prime is 268117127. The next prime is 268117153. The reversal of 268117152 is 251711862.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×268117152² = 143773614393182208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268117153) 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, 10093 + ... + 25260.

It is an arithmetic number, because the mean of its divisors is an integer number (14848680).

Almost surely, 2^268117152 is an apocalyptic number.

It is an amenable number.

268117152 is an abundant number, since it is smaller than the sum of its proper divisors (444619488).

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

268117152 is a wasteful number, since it uses less digits than its factorization.

268117152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35445 (or 35437 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 268117152 is about 16374.2832514892. The cubic root of 268117152 is about 644.8245036632.

The spelling of 268117152 in words is "two hundred sixty-eight million, one hundred seventeen thousand, one hundred fifty-two".