268166700 has 90 divisors (see below), whose sum is σ = 869316756. Its totient is φ = 71508960.

The previous prime is 268166659. The next prime is 268166707. The reversal of 268166700 is 7661862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (268166707) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 8454 + ... + 24653.

Almost surely, 2^268166700 is an apocalyptic number.

268166700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268166700 is an abundant number, since it is smaller than the sum of its proper divisors (601150056).

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

268166700 is a wasteful number, since it uses less digits than its factorization.

268166700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33133 (or 33117 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 268166700 is about 16375.7961638511. The cubic root of 268166700 is about 644.8642223662.

The spelling of 268166700 in words is "two hundred sixty-eight million, one hundred sixty-six thousand, seven hundred".