268416093 has 32 divisors (see below), whose sum is σ = 402739200. Its totient is φ = 157584960.

The previous prime is 268416041. The next prime is 268416103. The reversal of 268416093 is 390614862.

It is not a de Polignac number, because 268416093 - 2²⁵ = 234861661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268416023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447808 + ... + 448406.

It is an arithmetic number, because the mean of its divisors is an integer number (12585600).

Almost surely, 2^268416093 is an apocalyptic number.

It is an amenable number.

268416093 is a deficient number, since it is larger than the sum of its proper divisors (134323107).

268416093 is a wasteful number, since it uses less digits than its factorization.

268416093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 268416093 is about 16383.4090774784. The cubic root of 268416093 is about 645.0640667087.

The spelling of 268416093 in words is "two hundred sixty-eight million, four hundred sixteen thousand, ninety-three".