268360992 has 96 divisors (see below), whose sum is σ = 786360960. Its totient is φ = 89038080.

The previous prime is 268360991. The next prime is 268360993. The reversal of 268360992 is 299063862.

It is an interprime number because it is at equal distance from previous prime (268360991) and next prime (268360993).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (268360991) 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, 226642 + ... + 227822.

It is an arithmetic number, because the mean of its divisors is an integer number (8191260).

Almost surely, 2^268360992 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 268360992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393180480).

268360992 is an abundant number, since it is smaller than the sum of its proper divisors (517999968).

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

268360992 is a wasteful number, since it uses less digits than its factorization.

268360992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 268360992 is about 16381.7273814455. The cubic root of 268360992 is about 645.0199236680.

The spelling of 268360992 in words is "two hundred sixty-eight million, three hundred sixty thousand, nine hundred ninety-two".