268277100 has 288 divisors, whose sum is σ = 989270016. Its totient is φ = 54604800.

The previous prime is 268277041. The next prime is 268277101. The reversal of 268277100 is 1772862.

It is not an unprimeable number, because it can be changed into a prime (268277101) 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 95 ways as a sum of consecutive naturals, for example, 846142 + ... + 846458.

Almost surely, 2^268277100 is an apocalyptic number.

268277100 is a gapful number since it is divisible by the number (20) 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 268277100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494635008).

268277100 is an abundant number, since it is smaller than the sum of its proper divisors (720992916).

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

268277100 is a wasteful number, since it uses less digits than its factorization.

268277100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 268277100 is about 16379.1666454677. The cubic root of 268277100 is about 644.9527037010.

The spelling of 268277100 in words is "two hundred sixty-eight million, two hundred seventy-seven thousand, one hundred".