268187808 has 96 divisors (see below), whose sum is σ = 807117696. Its totient is φ = 76382208.

The previous prime is 268187807. The next prime is 268187809. The reversal of 268187808 is 808781862.

It is an interprime number because it is at equal distance from previous prime (268187807) and next prime (268187809).

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 (268187807) 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, 398160 + ... + 398832.

It is an arithmetic number, because the mean of its divisors is an integer number (8407476).

Almost surely, 2^268187808 is an apocalyptic number.

268187808 is a gapful number since it is divisible by the number (28) 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 268187808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403558848).

268187808 is an abundant number, since it is smaller than the sum of its proper divisors (538929888).

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

268187808 is a wasteful number, since it uses less digits than its factorization.

268187808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 268187808 is about 16376.4406389178. The cubic root of 268187808 is about 644.8811414901.

The spelling of 268187808 in words is "two hundred sixty-eight million, one hundred eighty-seven thousand, eight hundred eight".