268353696 has 96 divisors (see below), whose sum is σ = 791683200. Its totient is φ = 78971904.

The previous prime is 268353671. The next prime is 268353697. The reversal of 268353696 is 696353862.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (268353697) 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, 24030 + ... + 33378.

It is an arithmetic number, because the mean of its divisors is an integer number (8246700).

Almost surely, 2^268353696 is an apocalyptic number.

268353696 is a gapful number since it is divisible by the number (26) 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 268353696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395841600).

268353696 is an abundant number, since it is smaller than the sum of its proper divisors (523329504).

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

268353696 is a wasteful number, since it uses less digits than its factorization.

268353696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398 (or 9390 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 268353696 is about 16381.5046927930. The cubic root of 268353696 is about 645.0140781736.

The spelling of 268353696 in words is "two hundred sixty-eight million, three hundred fifty-three thousand, six hundred ninety-six".