268238600 has 48 divisors (see below), whose sum is σ = 712752000. Its totient is φ = 91967040.

The previous prime is 268238539. The next prime is 268238611. The reversal of 268238600 is 6832862.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94400 + ... + 97199.

It is an arithmetic number, because the mean of its divisors is an integer number (14849000).

Almost surely, 2^268238600 is an apocalyptic number.

268238600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268238600 is an abundant number, since it is smaller than the sum of its proper divisors (444513400).

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

268238600 is a wasteful number, since it uses less digits than its factorization.

268238600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191622 (or 191613 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 268238600 is about 16377.9913298304. The cubic root of 268238600 is about 644.9218501954.

The spelling of 268238600 in words is "two hundred sixty-eight million, two hundred thirty-eight thousand, six hundred".