268808352 has 96 divisors (see below), whose sum is σ = 786542400. Its totient is φ = 79884288.

The previous prime is 268808329. The next prime is 268808357. The reversal of 268808352 is 253808862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×268808352³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (268808357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26674 + ... + 35342.

It is an arithmetic number, because the mean of its divisors is an integer number (8193150).

Almost surely, 2^268808352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268808352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393271200).

268808352 is an abundant number, since it is smaller than the sum of its proper divisors (517734048).

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

268808352 is a wasteful number, since it uses less digits than its factorization.

268808352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8718 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 268808352 is about 16395.3759334759. The cubic root of 268808352 is about 645.3781425450.

The spelling of 268808352 in words is "two hundred sixty-eight million, eight hundred eight thousand, three hundred fifty-two".